diff --git a/flang/lib/Optimizer/CodeGen/TypeConverter.h b/flang/lib/Optimizer/CodeGen/TypeConverter.h
--- a/flang/lib/Optimizer/CodeGen/TypeConverter.h
+++ b/flang/lib/Optimizer/CodeGen/TypeConverter.h
@@ -82,6 +82,9 @@
     addConversion([&](fir::SequenceType sequence) {
       return convertSequenceType(sequence);
     });
+    addConversion([&](fir::TypeDescType tdesc) {
+      return convertTypeDescType(tdesc.getContext());
+    });
     addConversion([&](fir::VectorType vecTy) {
       return mlir::VectorType::get(llvm::ArrayRef<int64_t>(vecTy.getLen()),
                                    convertType(vecTy.getEleTy()));
@@ -275,6 +278,14 @@
     return mlir::LLVM::LLVMPointerType::get(baseTy);
   }
 
+  // fir.tdesc<any>  -->  llvm<"i8*">
+  // TODO: For now use a void*, however pointer identity is not sufficient for
+  // the f18 object v. class distinction (F2003).
+  mlir::Type convertTypeDescType(mlir::MLIRContext *ctx) {
+    return mlir::LLVM::LLVMPointerType::get(
+        mlir::IntegerType::get(&getContext(), 8));
+  }
+
   /// Convert llvm::Type::TypeID to mlir::Type
   mlir::Type fromRealTypeID(llvm::Type::TypeID typeID, fir::KindTy kind) {
     switch (typeID) {
diff --git a/flang/test/Fir/types-to-llvm.fir b/flang/test/Fir/types-to-llvm.fir
--- a/flang/test/Fir/types-to-llvm.fir
+++ b/flang/test/Fir/types-to-llvm.fir
@@ -293,3 +293,11 @@
 func private @foo0(%arg0: !fir.field)
 // CHECK-LABEL: foo0
 // CHECK-SAME: i32
+
+// -----
+
+// Test `!fir.tdesc` conversion.
+
+func private @foo0(%arg0: !fir.tdesc<!fir.type<x>>)
+// CHECK-LABEL: foo0
+// CHECK-SAME:  !llvm.ptr<i8>