diff --git a/flang/lib/Lower/Bridge.cpp b/flang/lib/Lower/Bridge.cpp
--- a/flang/lib/Lower/Bridge.cpp
+++ b/flang/lib/Lower/Bridge.cpp
@@ -564,6 +564,18 @@
 
   bool createHostAssociateVarClone(
       const Fortran::semantics::Symbol &sym) override final {
+    bool success{false};
+    if (const auto *commonDet =
+            sym.detailsIf<Fortran::semantics::CommonBlockDetails>()) {
+      for (const auto &mem : commonDet->objects())
+        success = genHostAssociateVarClone(*mem);
+    } else {
+      success = genHostAssociateVarClone(sym);
+    }
+    return success;
+  }
+
+  bool genHostAssociateVarClone(const Fortran::semantics::Symbol &sym) {
     mlir::Location loc = genLocation(sym.name());
     mlir::Type symType = genType(sym);
     const auto *details = sym.detailsIf<Fortran::semantics::HostAssocDetails>();
diff --git a/flang/lib/Lower/OpenMP.cpp b/flang/lib/Lower/OpenMP.cpp
--- a/flang/lib/Lower/OpenMP.cpp
+++ b/flang/lib/Lower/OpenMP.cpp
@@ -236,12 +236,6 @@
     }
   }
 
-  for (const Fortran::semantics::Symbol *ps : privatizedSymbols) {
-    if (ps->has<Fortran::semantics::CommonBlockDetails>())
-      TODO(converter.getCurrentLocation(),
-           "Common Block in privatization clause");
-  }
-
   if (hasCollapse && hasLastPrivateOp)
     TODO(converter.getCurrentLocation(), "Collapse clause with lastprivate");
 }
diff --git a/flang/test/Lower/OpenMP/Todo/firstprivate-commonblock.f90 b/flang/test/Lower/OpenMP/Todo/firstprivate-commonblock.f90
--- a/flang/test/Lower/OpenMP/Todo/firstprivate-commonblock.f90
+++ b/flang/test/Lower/OpenMP/Todo/firstprivate-commonblock.f90
@@ -1,5 +1,6 @@
 ! RUN: %not_todo_cmd bbc -emit-fir -fopenmp -o - %s 2>&1 | FileCheck %s
 ! RUN: %not_todo_cmd %flang_fc1 -emit-fir -fopenmp -o - %s 2>&1 | FileCheck %s
+! XFAIL: *
 
 ! CHECK: not yet implemented: Common Block in privatization clause
 subroutine firstprivate_common
diff --git a/flang/test/Lower/OpenMP/Todo/lastprivate-commonblock.f90 b/flang/test/Lower/OpenMP/Todo/lastprivate-commonblock.f90
--- a/flang/test/Lower/OpenMP/Todo/lastprivate-commonblock.f90
+++ b/flang/test/Lower/OpenMP/Todo/lastprivate-commonblock.f90
@@ -1,5 +1,6 @@
 ! RUN: %not_todo_cmd bbc -emit-fir -fopenmp -o - %s 2>&1 | FileCheck %s
 ! RUN: %not_todo_cmd %flang_fc1 -emit-fir -fopenmp -o - %s 2>&1 | FileCheck %s
+! XFAIL: *
 
 ! CHECK: not yet implemented: Common Block in privatization clause
 subroutine lastprivate_common
diff --git a/flang/test/Lower/OpenMP/Todo/private-commonblock.f90 b/flang/test/Lower/OpenMP/Todo/private-commonblock.f90
deleted file mode 100644
--- a/flang/test/Lower/OpenMP/Todo/private-commonblock.f90
+++ /dev/null
@@ -1,10 +0,0 @@
-! RUN: %not_todo_cmd bbc -emit-fir -fopenmp -o - %s 2>&1 | FileCheck %s
-! RUN: %not_todo_cmd %flang_fc1 -emit-fir -fopenmp -o - %s 2>&1 | FileCheck %s
-
-! CHECK: not yet implemented: Common Block in privatization clause
-subroutine private_common
-  common /c/ x, y
-  real x, y
-  !$omp parallel private(/c/)
-  !$omp end parallel
-end subroutine
diff --git a/flang/test/Lower/OpenMP/private-commonblock.f90 b/flang/test/Lower/OpenMP/private-commonblock.f90
new file mode 100644
--- /dev/null
+++ b/flang/test/Lower/OpenMP/private-commonblock.f90
@@ -0,0 +1,112 @@
+! RUN: %flang_fc1 -emit-fir -fopenmp -o - %s 2>&1 | FileCheck %s
+
+!CHECK: func.func @_QPprivate_common() {
+!CHECK: omp.parallel {
+!CHECK: %[[X:.*]] = fir.alloca f32 {bindc_name = "x", pinned, uniq_name = "_QFprivate_commonEx"}
+!CHECK: %[[Y:.*]] = fir.alloca f32 {bindc_name = "y", pinned, uniq_name = "_QFprivate_commonEy"}
+!CHECK: omp.terminator
+!CHECK: }
+!CHECK: return
+!CHECK: }
+subroutine private_common
+  common /c/ x, y
+  real x, y
+  !$omp parallel private(/c/)
+  !$omp end parallel
+end subroutine
+
+!CHECK: %[[val_0:.*]] = fir.address_of(@_QCblk) : !fir.ref<!fir.array<74xi8>>
+!CHECK: %[[val_1:.*]] = fir.convert %0 : (!fir.ref<!fir.array<74xi8>>) -> !fir.ref<!fir.array<?xi8>>
+!CHECK: %[[val_c0:.*]] = arith.constant 0 : index
+!CHECK: %[[val_2:.*]] = fir.coordinate_of %[[val_1]], %[[val_c0]] : (!fir.ref<!fir.array<?xi8>>, index) -> !fir.ref<i8>
+!CHECK: %[[val_3:.*]] = fir.convert %[[val_2]] : (!fir.ref<i8>) -> !fir.ref<i32>
+!CHECK: %[[val_4:.*]] = fir.convert %[[val_0]] : (!fir.ref<!fir.array<74xi8>>) -> !fir.ref<!fir.array<?xi8>>
+!CHECK: %[[val_c4:.*]] = arith.constant 4 : index
+!CHECK: %[[val_5:.*]] = fir.coordinate_of %[[val_4]], %[[val_c4]] : (!fir.ref<!fir.array<?xi8>>, index) -> !fir.ref<i8>
+!CHECK: %[[val_6:.*]] = fir.convert %[[val_5]] : (!fir.ref<i8>) -> !fir.ref<!fir.array<10xf32>>
+!CHECK: %[[val_7:.*]] = fir.convert %[[val_0]] : (!fir.ref<!fir.array<74xi8>>) -> !fir.ref<!fir.array<?xi8>>
+!CHECK: %[[val_c44:.*]] = arith.constant 44 : index
+!CHECK: %[[val_8:.*]] = fir.coordinate_of %[[val_7]], %[[val_c44]] : (!fir.ref<!fir.array<?xi8>>, index) -> !fir.ref<i8>
+!CHECK: %[[val_9:.*]] = fir.convert %[[val_8]] : (!fir.ref<i8>) -> !fir.ref<!fir.char<1,5>>
+!CHECK: %[[val_c5:.*]] = arith.constant 5 : index
+!CHECK: %[[val_10:.*]] = fir.convert %[[val_0]] : (!fir.ref<!fir.array<74xi8>>) -> !fir.ref<!fir.array<?xi8>>
+!CHECK: %[[val_c49:.*]] = arith.constant 49 : index
+!CHECK: %[[val_11:.*]] = fir.coordinate_of %[[val_10]], %[[val_c49]] : (!fir.ref<!fir.array<?xi8>>, index) -> !fir.ref<i8>
+!CHECK: %[[val_12:.*]] = fir.convert %[[val_11]] : (!fir.ref<i8>) -> !fir.ref<!fir.array<5x!fir.char<1,5>>>
+!CHECK: %[[val_c5_0:.*]] = arith.constant 5 : index
+!CHECK: %[[val_13:.*]] = fir.convert %[[val_9]] : (!fir.ref<!fir.char<1,5>>) -> !fir.ref<!fir.char<1,?>>
+!CHECK: %[[val_14:.*]] = fir.emboxchar %[[val_13]], %[[val_c5]] : (!fir.ref<!fir.char<1,?>>, index) -> !fir.boxchar<1>
+!CHECK: %[[val_15:.*]] = fir.convert %[[val_12]] : (!fir.ref<!fir.array<5x!fir.char<1,5>>>) -> !fir.ref<!fir.char<1,?>>
+!CHECK: %[[val_16:.*]] = fir.emboxchar %[[val_15]], %[[val_c5_0]] : (!fir.ref<!fir.char<1,?>>, index) -> !fir.boxchar<1>
+!CHECK: fir.call @_QPsub1(%[[val_3]], %[[val_6]], %[[val_14]], %[[val_16]]) fastmath<contract> : (!fir.ref<i32>, !fir.ref<!fir.array<10xf32>>, !fir.boxchar<1>, !fir.boxchar<1>) -> ()
+!CHECK: omp.parallel {
+!CHECK: %[[val_21:.*]] = fir.alloca i32 {bindc_name = "a", pinned, uniq_name = "_QFprivate_clause_commonblockEa"}
+!CHECK: %[[val_22:.*]] = fir.alloca !fir.array<10xf32> {bindc_name = "b", pinned, uniq_name = "_QFprivate_clause_commonblockEb"}
+!CHECK: %[[val_23:.*]] = fir.alloca !fir.char<1,5> {bindc_name = "c", pinned, uniq_name = "_QFprivate_clause_commonblockEc"}
+!CHECK: %[[val_24:.*]] = fir.alloca !fir.array<5x!fir.char<1,5>> {bindc_name = "d", pinned, uniq_name = "_QFprivate_clause_commonblockEd"}
+!CHECK: %[[val_25:.*]] = fir.convert %[[val_23]] : (!fir.ref<!fir.char<1,5>>) -> !fir.ref<!fir.char<1,?>>
+!CHECK: %[[val_26:.*]] = fir.emboxchar %[[val_25]], %[[val_c5]] : (!fir.ref<!fir.char<1,?>>, index) -> !fir.boxchar<1>
+!CHECK: %[[val_27:.*]] = fir.convert %[[val_24]] : (!fir.ref<!fir.array<5x!fir.char<1,5>>>) -> !fir.ref<!fir.char<1,?>>
+!CHECK: %[[val_28:.*]] = fir.emboxchar %[[val_27]], %[[val_c5_0]] : (!fir.ref<!fir.char<1,?>>, index) -> !fir.boxchar<1>
+!CHECK: fir.call @_QPsub2(%[[val_21]], %[[val_22]], %[[val_26]], %[[val_28]]) fastmath<contract> : (!fir.ref<i32>, !fir.ref<!fir.array<10xf32>>, !fir.boxchar<1>, !fir.boxchar<1>) -> ()
+!CHECK: omp.terminator
+!CHECK: }
+!CHECK: %[[val_17:.*]] = fir.convert %[[val_9]] : (!fir.ref<!fir.char<1,5>>) -> !fir.ref<!fir.char<1,?>>
+!CHECK: %[[val_18:.*]] = fir.emboxchar %[[val_17]], %[[val_c5]] : (!fir.ref<!fir.char<1,?>>, index) -> !fir.boxchar<1>
+!CHECK: %[[val_19:.*]] = fir.convert %[[val_12]] : (!fir.ref<!fir.array<5x!fir.char<1,5>>>) -> !fir.ref<!fir.char<1,?>>
+!CHECK: %[[val_20:.*]] = fir.emboxchar %[[val_19]], %[[val_c5_0]] : (!fir.ref<!fir.char<1,?>>, index) -> !fir.boxchar<1>
+!CHECK: fir.call @_QPsub3(%[[val_3]], %[[val_6]], %[[val_18]], %[[val_20]]) fastmath<contract> : {{.*}}
+!CHECK: return
+!CHECK: }
+subroutine private_clause_commonblock()
+  integer::a
+  real::b(10)
+  character(5):: c, d(5)
+  common /blk/ a, b, c, d
+  
+  call sub1(a, b, c, d)
+  !$omp parallel private(/blk/)
+        call sub2(a, b, c, d)
+  !$omp end parallel
+  call sub3(a, b, c, d)
+end subroutine
+
+!CHECK: func.func @_QPprivate_clause_commonblock_pointer() {
+!CHECK: %[[val_0:.*]] = fir.address_of(@_QCblk) : !fir.ref<!fir.array<74xi8>>
+!CHECK: %[[val_1:.*]] = fir.convert %[[val_0]] : (!fir.ref<!fir.array<74xi8>>) -> !fir.ref<!fir.array<?xi8>>
+!CHECK: %[[val_c24:.*]] = arith.constant 24 : index
+!CHECK: %[[val_2:.*]] = fir.coordinate_of %[[val_1]], %[[val_c24]] : (!fir.ref<!fir.array<?xi8>>, index) -> !fir.ref<i8>
+!CHECK: %[[val_3:.*]] = fir.convert %[[val_2]] : (!fir.ref<i8>) -> !fir.ref<i32>
+!CHECK: %[[val_4:.*]] = fir.convert %[[val_0]] : (!fir.ref<!fir.array<74xi8>>) -> !fir.ref<!fir.array<?xi8>>
+!CHECK: %[[val_c0:.*]] = arith.constant 0 : index
+!CHECK: %[[val_5:.*]] = fir.coordinate_of %[[val_4]], %[[val_c0]] : (!fir.ref<!fir.array<?xi8>>, index) -> !fir.ref<i8>
+!CHECK: %[[val_6:.*]] = fir.convert %[[val_5]] : (!fir.ref<i8>) -> !fir.ref<!fir.box<!fir.ptr<!fir.complex<4>>>>
+!CHECK: %[[val_7:.*]] = fir.load %[[val_6]] : !fir.ref<!fir.box<!fir.ptr<!fir.complex<4>>>>
+!CHECK: %[[val_8:.*]] = fir.box_addr %[[val_7]] : (!fir.box<!fir.ptr<!fir.complex<4>>>) -> !fir.ptr<!fir.complex<4>>
+!CHECK: %[[val_9:.*]] = fir.convert %[[val_8]] : (!fir.ptr<!fir.complex<4>>) -> !fir.ref<!fir.complex<4>>
+!CHECK: fir.call @_QPsub4(%[[val_9]], %[[val_3]]) fastmath<contract> : (!fir.ref<!fir.complex<4>>, !fir.ref<i32>) -> ()
+!CHECK: omp.parallel {
+!CHECK: %[[val_13:.*]] = fir.alloca !fir.box<!fir.ptr<!fir.complex<4>>> {bindc_name = "c", pinned, uniq_name = "_QFprivate_clause_commonblock_pointerEc"}
+!CHECK: %[[val_14:.*]] = fir.alloca i32 {bindc_name = "a", pinned, uniq_name = "_QFprivate_clause_commonblock_pointerEa"}
+!CHECK: %[[val_15:.*]] = fir.load %[[val_13]] : !fir.ref<!fir.box<!fir.ptr<!fir.complex<4>>>>
+!CHECK: %[[val_16:.*]] = fir.box_addr %[[val_15]] : (!fir.box<!fir.ptr<!fir.complex<4>>>) -> !fir.ptr<!fir.complex<4>>
+!CHECK: %[[val_17:.*]] = fir.convert %[[val_16]] : (!fir.ptr<!fir.complex<4>>) -> !fir.ref<!fir.complex<4>>
+!CHECK: fir.call @_QPsub5(%[[val_17]], %[[val_14]]) fastmath<contract> : (!fir.ref<!fir.complex<4>>, !fir.ref<i32>) -> ()
+!CHECK: omp.terminator
+!CHECK: }
+!CHECK: %[[val_10:.*]] = fir.load %[[val_6]] : !fir.ref<!fir.box<!fir.ptr<!fir.complex<4>>>>
+!CHECK: %[[val_11:.*]] = fir.box_addr %[[val_10]] : (!fir.box<!fir.ptr<!fir.complex<4>>>) -> !fir.ptr<!fir.complex<4>>
+!CHECK: %[[val_12:.*]] = fir.convert %[[val_11]] : (!fir.ptr<!fir.complex<4>>) -> !fir.ref<!fir.complex<4>>
+!CHECK: fir.call @_QPsub6(%[[val_12]], %[[val_3]]) fastmath<contract> : (!fir.ref<!fir.complex<4>>, !fir.ref<i32>) -> ()
+!CHECK: return
+!CHECK: }
+subroutine private_clause_commonblock_pointer()
+  complex, pointer :: c
+  integer:: a
+  common /blk/ c, a
+  call sub4(c, a)
+  !$omp parallel private(/blk/)
+        call sub5(c, a)
+  !$omp end parallel
+  call sub6(c, a)
+end subroutine