diff --git a/mlir/lib/Conversion/SPIRVToLLVM/ConvertSPIRVToLLVM.cpp b/mlir/lib/Conversion/SPIRVToLLVM/ConvertSPIRVToLLVM.cpp
--- a/mlir/lib/Conversion/SPIRVToLLVM/ConvertSPIRVToLLVM.cpp
+++ b/mlir/lib/Conversion/SPIRVToLLVM/ConvertSPIRVToLLVM.cpp
@@ -408,6 +408,39 @@
   }
 };
 
+class BranchConversionPattern : public SPIRVToLLVMConversion<spirv::BranchOp> {
+public:
+  using SPIRVToLLVMConversion<spirv::BranchOp>::SPIRVToLLVMConversion;
+
+  LogicalResult
+  matchAndRewrite(spirv::BranchOp branchOp, ArrayRef<Value> operands,
+                  ConversionPatternRewriter &rewriter) const override {
+    rewriter.replaceOpWithNewOp<LLVM::BrOp>(branchOp, operands,
+                                            branchOp.getTarget());
+    return success();
+  }
+};
+
+class BranchConditionalConversionPattern
+    : public SPIRVToLLVMConversion<spirv::BranchConditionalOp> {
+public:
+  using SPIRVToLLVMConversion<
+      spirv::BranchConditionalOp>::SPIRVToLLVMConversion;
+
+  LogicalResult
+  matchAndRewrite(spirv::BranchConditionalOp op, ArrayRef<Value> operands,
+                  ConversionPatternRewriter &rewriter) const override {
+    // There is no support of branch weights in LLVM dialect at the moment.
+    if (auto weights = op.branch_weights())
+      return failure();
+
+    rewriter.replaceOpWithNewOp<LLVM::CondBrOp>(
+        op, op.condition(), op.getTrueBlock(), op.getTrueBlockArguments(),
+        op.getFalseBlock(), op.getFalseBlockArguments());
+    return success();
+  }
+};
+
 /// Converts SPIR-V operations that have straightforward LLVM equivalent
 /// into LLVM dialect operations.
 template <typename SPIRVOp, typename LLVMOp>
@@ -808,6 +841,9 @@
       // Constant op
       ConstantScalarAndVectorPattern,
 
+      // Control Flow ops
+      BranchConversionPattern, BranchConditionalConversionPattern,
+
       // Function Call op
       FunctionCallPattern,
 
diff --git a/mlir/test/Conversion/SPIRVToLLVM/control-flow-ops-to-llvm.mlir b/mlir/test/Conversion/SPIRVToLLVM/control-flow-ops-to-llvm.mlir
new file mode 100644
--- /dev/null
+++ b/mlir/test/Conversion/SPIRVToLLVM/control-flow-ops-to-llvm.mlir
@@ -0,0 +1,82 @@
+// RUN: mlir-opt -convert-spirv-to-llvm -split-input-file -verify-diagnostics %s | FileCheck %s
+
+//===----------------------------------------------------------------------===//
+// spv.Branch
+//===----------------------------------------------------------------------===//
+
+spv.module Logical GLSL450 {
+  spv.func @branch_without_arguments() -> () "None" {
+	  // CHECK: llvm.br ^bb1
+    spv.Branch ^label
+  // CHECK: ^bb1
+  ^label:
+    spv.Return
+  }
+
+  spv.func @branch_with_arguments() -> () "None" {
+    %0 = spv.constant 0 : i32
+    %1 = spv.constant true
+    // CHECK: llvm.br ^bb1(%{{.*}}, %{{.*}} : !llvm.i32, !llvm.i1)
+    spv.Branch ^label(%0, %1: i32, i1)
+  // CHECK: ^bb1(%{{.*}}: !llvm.i32, %{{.*}}: !llvm.i1)
+  ^label(%arg0: i32, %arg1: i1):
+    spv.Return
+  }
+}
+
+// -----
+
+//===----------------------------------------------------------------------===//
+// spv.BranchConditional
+//===----------------------------------------------------------------------===//
+
+spv.module Logical GLSL450 {
+  spv.func @cond_branch_without_arguments() -> () "None" {
+    // CHECK: %[[COND:.*]] = llvm.mlir.constant(true) : !llvm.i1
+    %cond = spv.constant true
+    // CHECK: lvm.cond_br %[[COND]], ^bb1, ^bb2
+    spv.BranchConditional %cond, ^true, ^false
+    // CHECK: ^bb1:
+  ^true:
+    spv.Return
+    // CHECK: ^bb2:
+  ^false:
+    spv.Return
+  }
+
+  spv.func @cond_branch_with_arguments_nested() -> () "None" {
+    // CHECK: %[[COND1:.*]] = llvm.mlir.constant(true) : !llvm.i1
+    %cond = spv.constant true
+    %0 = spv.constant 0 : i32
+    // CHECK: %[[COND2:.*]] = llvm.mlir.constant(false) : !llvm.i1
+    %false = spv.constant false
+    // CHECK: llvm.cond_br %[[COND1]], ^bb1(%{{.*}}, %[[COND2]] : !llvm.i32, !llvm.i1), ^bb2
+    spv.BranchConditional %cond, ^outer_true(%0, %false: i32, i1), ^outer_false
+  // CHECK: ^bb1(%{{.*}}: !llvm.i32, %[[COND:.*]]: !llvm.i1):
+  ^outer_true(%arg0: i32, %arg1: i1):
+    // CHECK: llvm.cond_br %[[COND]], ^bb3, ^bb4(%{{.*}}, %{{.*}} : !llvm.i32, !llvm.i32)
+    spv.BranchConditional %arg1, ^inner_true, ^inner_false(%arg0, %arg0: i32, i32)
+  // CHECK: ^bb2:
+  ^outer_false:
+    spv.Return
+  // CHECK: ^bb3:
+  ^inner_true:
+    spv.Return
+  // CHECK: ^bb4(%{{.*}}: !llvm.i32, %{{.*}}: !llvm.i32):
+  ^inner_false(%arg3: i32, %arg4: i32):
+    spv.Return
+  }
+}
+
+// -----
+
+spv.module Logical GLSL450 {
+  spv.func @cond_branch_with_weights(%cond: i1) -> () "None" {
+    // expected-error@+1 {{failed to legalize operation 'spv.BranchConditional' that was explicitly marked illegal}}
+    spv.BranchConditional %cond [1, 2], ^true, ^false
+  ^true:
+    spv.Return
+  ^false:
+    spv.Return
+  }
+}