diff --git a/libc/config/darwin/arm/entrypoints.txt b/libc/config/darwin/arm/entrypoints.txt
--- a/libc/config/darwin/arm/entrypoints.txt
+++ b/libc/config/darwin/arm/entrypoints.txt
@@ -192,6 +192,7 @@
     libc.src.math.sqrt
     libc.src.math.sqrtf
     libc.src.math.sqrtl
+    libc.src.math.tanhf
     libc.src.math.trunc
     libc.src.math.truncf
     libc.src.math.truncl
diff --git a/libc/config/linux/aarch64/entrypoints.txt b/libc/config/linux/aarch64/entrypoints.txt
--- a/libc/config/linux/aarch64/entrypoints.txt
+++ b/libc/config/linux/aarch64/entrypoints.txt
@@ -211,6 +211,7 @@
     libc.src.math.sqrt
     libc.src.math.sqrtf
     libc.src.math.sqrtl
+    libc.src.math.tanhf
     libc.src.math.trunc
     libc.src.math.truncf
     libc.src.math.truncl
diff --git a/libc/config/linux/x86_64/entrypoints.txt b/libc/config/linux/x86_64/entrypoints.txt
--- a/libc/config/linux/x86_64/entrypoints.txt
+++ b/libc/config/linux/x86_64/entrypoints.txt
@@ -219,6 +219,7 @@
     libc.src.math.sqrtf
     libc.src.math.sqrtl
     libc.src.math.tan
+    libc.src.math.tanhf
     libc.src.math.trunc
     libc.src.math.truncf
     libc.src.math.truncl
diff --git a/libc/config/windows/entrypoints.txt b/libc/config/windows/entrypoints.txt
--- a/libc/config/windows/entrypoints.txt
+++ b/libc/config/windows/entrypoints.txt
@@ -196,6 +196,7 @@
     libc.src.math.sqrtf
     libc.src.math.sqrtl
     libc.src.math.tan
+    libc.src.math.tanhf
     libc.src.math.trunc
     libc.src.math.truncf
     libc.src.math.truncl
diff --git a/libc/spec/stdc.td b/libc/spec/stdc.td
--- a/libc/spec/stdc.td
+++ b/libc/spec/stdc.td
@@ -473,6 +473,7 @@
 
           FunctionSpec<"coshf", RetValSpec<FloatType>, [ArgSpec<FloatType>]>,
           FunctionSpec<"sinhf", RetValSpec<FloatType>, [ArgSpec<FloatType>]>,
+          FunctionSpec<"tanhf", RetValSpec<FloatType>, [ArgSpec<FloatType>]>,
       ]
   >;
 
diff --git a/libc/src/math/CMakeLists.txt b/libc/src/math/CMakeLists.txt
--- a/libc/src/math/CMakeLists.txt
+++ b/libc/src/math/CMakeLists.txt
@@ -189,6 +189,7 @@
 add_math_entrypoint_object(sqrtl)
 
 add_math_entrypoint_object(tan)
+add_math_entrypoint_object(tanhf)
 
 add_math_entrypoint_object(trunc)
 add_math_entrypoint_object(truncf)
diff --git a/libc/src/math/generic/CMakeLists.txt b/libc/src/math/generic/CMakeLists.txt
--- a/libc/src/math/generic/CMakeLists.txt
+++ b/libc/src/math/generic/CMakeLists.txt
@@ -1172,3 +1172,21 @@
     -O3
 )
 
+add_entrypoint_object(
+  tanhf
+  SRCS
+    tanhf.cpp
+  HDRS
+    ../tanhf.h
+    expxf.h 
+  DEPENDS
+    .common_constants
+    libc.src.__support.FPUtil.fputil
+    libc.src.__support.FPUtil.multiply_add
+    libc.src.__support.FPUtil.nearest_integer
+    libc.src.__support.FPUtil.polyeval
+    libc.include.math
+  COMPILE_OPTIONS
+    -O3
+)
+
diff --git a/libc/src/math/generic/tanhf.cpp b/libc/src/math/generic/tanhf.cpp
new file mode 100644
--- /dev/null
+++ b/libc/src/math/generic/tanhf.cpp
@@ -0,0 +1,62 @@
+//===-- Single-precision tanh function ------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#include "src/math/tanhf.h"
+#include "src/__support/FPUtil/FPBits.h"
+#include "src/math/generic/expxf.h"
+
+namespace __llvm_libc {
+
+LLVM_LIBC_FUNCTION(float, tanhf, (float x)) {
+  using FPBits = typename fputil::FPBits<float>;
+  FPBits xbits(x);
+  bool sign = xbits.get_sign();
+  uint32_t x_abs = xbits.uintval() & FPBits::FloatProp::EXP_MANT_MASK;
+
+  // |x| <= 2^-26
+  if (unlikely(x_abs <= 0x3280'0000U)) {
+    return unlikely(x_abs == 0) ? x : (x - 0x1.5555555555555p-2 * x * x * x);
+  }
+
+  // When |x| >= 15, or x is inf or nan
+  if (unlikely(x_abs >= 0x4170'0000U)) {
+    if (xbits.is_nan())
+      return x + 1.0f; // sNaN to qNaN + signal
+
+    if (xbits.is_inf())
+      return sign ? -1.0f : 1.0f;
+
+    if (sign) {
+      return -1.0f + opt_barrier(FPBits(FPBits::MIN_NORMAL).get_val());
+    } else
+      return 1.0f - opt_barrier(FPBits(FPBits::MIN_NORMAL).get_val());
+  }
+
+  // |x| <= 0.078125
+  if (unlikely(x_abs <= 0x3da0'0000U)) {
+    double xdbl = x;
+    double x2 = xdbl * xdbl;
+    // Pure Taylor series.
+    double pe = fputil::polyeval(x2, 0.0, -0x1.5555555555555p-2,
+                                 0x1.1111111111111p-3, -0x1.ba1ba1ba1ba1cp-5,
+                                 0x1.664f4882c10fap-6, -0x1.226e355e6c23dp-7);
+    return fputil::multiply_add(xdbl, pe, xdbl);
+  }
+
+  if (unlikely(xbits.bits == 0x4058'e0a3U)) {
+    if (fputil::get_round() == FE_DOWNWARD)
+      return FPBits(0x3f7f'6ad9U).get_val();
+  }
+
+  auto ep = exp_eval(2.0f * (sign ? x : -x)); // exp(-2 * x)
+  double result = fputil::multiply_add(ep.mult_exp, ep.r, ep.mult_exp - 1.0) /
+                  (fputil::multiply_add(ep.mult_exp, ep.r, ep.mult_exp + 1.0));
+  return sign ? result : -result;
+}
+
+} // namespace __llvm_libc
diff --git a/libc/src/math/tanhf.h b/libc/src/math/tanhf.h
new file mode 100644
--- /dev/null
+++ b/libc/src/math/tanhf.h
@@ -0,0 +1,18 @@
+//===-- Implementation header for tanhf -------------------------*- C++ -*-===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef LLVM_LIBC_SRC_MATH_TANHF_H
+#define LLVM_LIBC_SRC_MATH_TANHF_H
+
+namespace __llvm_libc {
+
+float tanhf(float x);
+
+} // namespace __llvm_libc
+
+#endif // LLVM_LIBC_SRC_MATH_TANHF_H
diff --git a/libc/test/src/math/CMakeLists.txt b/libc/test/src/math/CMakeLists.txt
--- a/libc/test/src/math/CMakeLists.txt
+++ b/libc/test/src/math/CMakeLists.txt
@@ -1346,6 +1346,18 @@
     libc.src.__support.FPUtil.fputil
 )
 
+add_fp_unittest(
+  tanhf_test
+  NEED_MPFR
+  SUITE
+    libc_math_unittests
+  SRCS
+    tanhf_test.cpp
+  DEPENDS
+    libc.src.math.tanhf
+    libc.src.__support.FPUtil.fputil
+)
+
 add_subdirectory(generic)
 add_subdirectory(exhaustive)
 add_subdirectory(differential_testing)
diff --git a/libc/test/src/math/exhaustive/CMakeLists.txt b/libc/test/src/math/exhaustive/CMakeLists.txt
--- a/libc/test/src/math/exhaustive/CMakeLists.txt
+++ b/libc/test/src/math/exhaustive/CMakeLists.txt
@@ -240,3 +240,20 @@
     -lpthread
 )
 
+add_fp_unittest(
+  tanhf_test
+  NO_RUN_POSTBUILD
+  NEED_MPFR
+  SUITE
+    libc_math_exhaustive_tests
+  SRCS
+    tanhf_test.cpp
+  DEPENDS
+    .exhaustive_test
+    libc.include.math
+    libc.src.math.tanhf
+    libc.src.__support.FPUtil.fputil
+  LINK_LIBRARIES
+    -lpthread
+)
+
diff --git a/libc/test/src/math/exhaustive/tanhf_test.cpp b/libc/test/src/math/exhaustive/tanhf_test.cpp
new file mode 100644
--- /dev/null
+++ b/libc/test/src/math/exhaustive/tanhf_test.cpp
@@ -0,0 +1,76 @@
+//===-- Exhaustive test for tanhf -----------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#include "exhaustive_test.h"
+#include "src/__support/FPUtil/FPBits.h"
+#include "src/math/tanhf.h"
+#include "utils/MPFRWrapper/MPFRUtils.h"
+
+#include <thread>
+
+using FPBits = __llvm_libc::fputil::FPBits<float>;
+
+namespace mpfr = __llvm_libc::testing::mpfr;
+
+struct LlvmLibcTanhfExhaustiveTest : public LlvmLibcExhaustiveTest<uint32_t> {
+  bool check(uint32_t start, uint32_t stop,
+             mpfr::RoundingMode rounding) override {
+    mpfr::ForceRoundingMode r(rounding);
+    uint32_t bits = start;
+    bool result = true;
+    do {
+      FPBits xbits(bits);
+      float x = float(xbits);
+      result &= EXPECT_MPFR_MATCH(mpfr::Operation::Tanh, x,
+                                  __llvm_libc::tanhf(x), 0.5, rounding);
+    } while (bits++ < stop);
+    return result;
+  }
+};
+
+static const int NUM_THREADS = std::thread::hardware_concurrency();
+
+// Range: [0, INF];
+static const uint32_t POS_START = 0x0000'0000U;
+static const uint32_t POS_STOP = FPBits::inf(false).uintval();
+
+TEST_F(LlvmLibcTanhfExhaustiveTest, PostiveRangeRoundNearestTieToEven) {
+  test_full_range(POS_START, POS_STOP, mpfr::RoundingMode::Nearest);
+}
+
+TEST_F(LlvmLibcTanhfExhaustiveTest, PostiveRangeRoundUp) {
+  test_full_range(POS_START, POS_STOP, mpfr::RoundingMode::Upward);
+}
+
+TEST_F(LlvmLibcTanhfExhaustiveTest, PostiveRangeRoundDown) {
+  test_full_range(POS_START, POS_STOP, mpfr::RoundingMode::Downward);
+}
+
+TEST_F(LlvmLibcTanhfExhaustiveTest, PostiveRangeRoundTowardZero) {
+  test_full_range(POS_START, POS_STOP, mpfr::RoundingMode::TowardZero);
+}
+
+// Range: [-INF, 0];
+static const uint32_t NEG_START = 0x8000'0000U;
+static const uint32_t NEG_STOP = FPBits::inf(true).uintval();
+
+TEST_F(LlvmLibcTanhfExhaustiveTest, NegativeRangeRoundNearestTieToEven) {
+  test_full_range(NEG_START, NEG_STOP, mpfr::RoundingMode::Nearest);
+}
+
+TEST_F(LlvmLibcTanhfExhaustiveTest, NegativeRangeRoundUp) {
+  test_full_range(NEG_START, NEG_STOP, mpfr::RoundingMode::Upward);
+}
+
+TEST_F(LlvmLibcTanhfExhaustiveTest, NegativeRangeRoundDown) {
+  test_full_range(NEG_START, NEG_STOP, mpfr::RoundingMode::Downward);
+}
+
+TEST_F(LlvmLibcTanhfExhaustiveTest, NegativeRangeRoundTowardZero) {
+  test_full_range(NEG_START, NEG_STOP, mpfr::RoundingMode::TowardZero);
+}
diff --git a/libc/test/src/math/tanhf_test.cpp b/libc/test/src/math/tanhf_test.cpp
new file mode 100644
--- /dev/null
+++ b/libc/test/src/math/tanhf_test.cpp
@@ -0,0 +1,77 @@
+//===-- Unittests for tanhf -----------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+#include "src/__support/CPP/Array.h"
+#include "src/__support/FPUtil/FPBits.h"
+#include "src/math/tanhf.h"
+#include "utils/MPFRWrapper/MPFRUtils.h"
+#include "utils/UnitTest/FPMatcher.h"
+#include "utils/UnitTest/Test.h"
+#include <math.h>
+
+#include <errno.h>
+#include <stdint.h>
+
+using FPBits = __llvm_libc::fputil::FPBits<float>;
+
+namespace mpfr = __llvm_libc::testing::mpfr;
+
+DECLARE_SPECIAL_CONSTANTS(float)
+
+TEST(LlvmLibcTanhfTest, SpecialNumbers) {
+  errno = 0;
+
+  EXPECT_FP_EQ(aNaN, __llvm_libc::tanhf(aNaN));
+  EXPECT_MATH_ERRNO(0);
+
+  EXPECT_FP_EQ(0.0f, __llvm_libc::tanhf(0.0f));
+  EXPECT_MATH_ERRNO(0);
+
+  EXPECT_FP_EQ(-0.0f, __llvm_libc::tanhf(-0.0f));
+  EXPECT_MATH_ERRNO(0);
+
+  EXPECT_FP_EQ(1.0f, __llvm_libc::tanhf(inf));
+  EXPECT_MATH_ERRNO(0);
+
+  EXPECT_FP_EQ(-1.0f, __llvm_libc::tanhf(neg_inf));
+  EXPECT_MATH_ERRNO(0);
+}
+
+TEST(LlvmLibcTanhfTest, InFloatRange) {
+  constexpr uint32_t COUNT = 1000000;
+  constexpr uint32_t STEP = UINT32_MAX / COUNT;
+  for (uint32_t i = 0, v = 0; i <= COUNT; ++i, v += STEP) {
+    float x = float(FPBits(v));
+    if (isnan(x) || isinf(x))
+      continue;
+    ASSERT_MPFR_MATCH(mpfr::Operation::Tanh, x, __llvm_libc::tanhf(x), 0.5);
+  }
+}
+
+// For small values, tanh(x) is x.
+TEST(LlvmLibcTanhfTest, SmallValues) {
+  float x = float(FPBits(uint32_t(0x17800000)));
+  float result = __llvm_libc::tanhf(x);
+  EXPECT_MPFR_MATCH(mpfr::Operation::Tanh, x, result, 0.5);
+  EXPECT_FP_EQ(x, result);
+
+  x = float(FPBits(uint32_t(0x00400000)));
+  result = __llvm_libc::tanhf(x);
+  EXPECT_MPFR_MATCH(mpfr::Operation::Tanh, x, result, 0.5);
+  EXPECT_FP_EQ(x, result);
+}
+
+TEST(LlvmLibcTanhfTest, ExceptionalValues) {
+  float x = float(FPBits(uint32_t(0x3a12'85ffU)));
+  EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Tanh, x,
+                                 __llvm_libc::tanhf(x), 0.5);
+
+  x = -float(FPBits(uint32_t(0x3a12'85ffU)));
+  EXPECT_MPFR_MATCH_ALL_ROUNDING(mpfr::Operation::Tanh, x,
+                                 __llvm_libc::tanhf(x), 0.5);
+}
diff --git a/libc/utils/MPFRWrapper/MPFRUtils.h b/libc/utils/MPFRWrapper/MPFRUtils.h
--- a/libc/utils/MPFRWrapper/MPFRUtils.h
+++ b/libc/utils/MPFRWrapper/MPFRUtils.h
@@ -44,6 +44,7 @@
   Sinh,
   Sqrt,
   Tan,
+  Tanh,
   Trunc,
   EndUnaryOperationsSingleOutput,
 
diff --git a/libc/utils/MPFRWrapper/MPFRUtils.cpp b/libc/utils/MPFRWrapper/MPFRUtils.cpp
--- a/libc/utils/MPFRWrapper/MPFRUtils.cpp
+++ b/libc/utils/MPFRWrapper/MPFRUtils.cpp
@@ -355,6 +355,12 @@
     return result;
   }
 
+  MPFRNumber tanh() const {
+    MPFRNumber result(*this);
+    mpfr_tanh(result.value, value, mpfr_rounding);
+    return result;
+  }
+
   MPFRNumber trunc() const {
     MPFRNumber result(*this);
     mpfr_trunc(result.value, value);
@@ -527,6 +533,8 @@
     return mpfrInput.sqrt();
   case Operation::Tan:
     return mpfrInput.tan();
+  case Operation::Tanh:
+    return mpfrInput.tanh();
   case Operation::Trunc:
     return mpfrInput.trunc();
   default: