diff --git a/mlir/lib/Dialect/SparseTensor/Transforms/SparseTensorRewriting.cpp b/mlir/lib/Dialect/SparseTensor/Transforms/SparseTensorRewriting.cpp
--- a/mlir/lib/Dialect/SparseTensor/Transforms/SparseTensorRewriting.cpp
+++ b/mlir/lib/Dialect/SparseTensor/Transforms/SparseTensorRewriting.cpp
@@ -1020,7 +1020,8 @@
     //     get the next element from the input file
     //     insert the element to %tmp
     //   %t = sparse_tensor.ConvertOp %tmp
-    RankedTensorType cooTp = getUnorderedCOOFromType(dstTp);
+    RankedTensorType cooTp =
+        getUnorderedCOOFromTypeWithOrdering(dstTp, encDst.getDimOrdering());
     auto cooBuffer =
         rewriter.create<AllocTensorOp>(loc, cooTp, dynSizesArray).getResult();
 
@@ -1050,10 +1051,10 @@
     Value indices = dimSizes; // Reuse the indices memref to store indices.
     createFuncCall(rewriter, loc, getNextFuncName, {}, {reader, indices, value},
                    EmitCInterface::On);
-    SmallVector<Value> indicesArray;
+    SmallVector<Value> indicesArray(rank, Value());
     for (uint64_t i = 0; i < rank; i++) {
-      indicesArray.push_back(rewriter.create<memref::LoadOp>(
-          loc, indices, constantIndex(rewriter, loc, i)));
+      indicesArray[toStoredDim(encDst, i)] = rewriter.create<memref::LoadOp>(
+          loc, indices, constantIndex(rewriter, loc, i));
     }
     Value v = rewriter.create<memref::LoadOp>(loc, value);
     Value t = rewriter.create<InsertOp>(loc, v, forOp.getRegionIterArg(0),
diff --git a/mlir/test/Dialect/SparseTensor/rewriting_for_codegen.mlir b/mlir/test/Dialect/SparseTensor/rewriting_for_codegen.mlir
--- a/mlir/test/Dialect/SparseTensor/rewriting_for_codegen.mlir
+++ b/mlir/test/Dialect/SparseTensor/rewriting_for_codegen.mlir
@@ -5,6 +5,11 @@
   dimLevelType = ["dense", "compressed"]
 }>
 
+#CSC = #sparse_tensor.encoding<{
+  dimLevelType = [ "dense", "compressed" ],
+  dimOrdering = affine_map<(i, j) -> (j, i)>
+}>
+
 // CHECK-LABEL:   func.func @sparse_new_symmetry(
 // CHECK-SAME:    %[[A:.*]]: !llvm.ptr<i8>) -> tensor<?x?xf32, #sparse_tensor.encoding<{ dimLevelType = [ "dense", "compressed" ] }>> {
 // CHECK-DAG:     %[[C2:.*]] = arith.constant 2 : index
@@ -75,6 +80,37 @@
   return %0 : tensor<?x?xf32, #CSR>
 }
 
+// CHECK-LABEL:   func.func @sparse_new_csc(
+// CHECK-SAME:    %[[A:.*]]: !llvm.ptr<i8>) -> tensor<?x?xf32, #sparse_tensor.encoding<{ dimLevelType = [ "dense", "compressed" ], dimOrdering = affine_map<(d0, d1) -> (d1, d0)> }>> {
+// CHECK-DAG:     %[[C2:.*]] = arith.constant 2 : index
+// CHECK-DAG:     %[[C0:.*]] = arith.constant 0 : index
+// CHECK-DAG:     %[[C1:.*]] = arith.constant 1 : index
+// CHECK:         %[[R:.*]] = call @createSparseTensorReader(%[[A]])
+// CHECK:         %[[DS:.*]] = memref.alloca(%[[C2]]) : memref<?xindex>
+// CHECK:         call @copySparseTensorReaderDimSizes(%[[R]], %[[DS]])
+// CHECK:         %[[D0:.*]] = memref.load %[[DS]]{{\[}}%[[C0]]]
+// CHECK:         %[[D1:.*]] = memref.load %[[DS]]{{\[}}%[[C1]]]
+// CHECK:         %[[T:.*]] = bufferization.alloc_tensor(%[[D0]], %[[D1]])
+// CHECK:         %[[N:.*]] = call @getSparseTensorReaderNNZ(%[[R]])
+// CHECK:         %[[VB:.*]] = memref.alloca()
+// CHECK:         %[[T2:.*]] = scf.for %{{.*}} = %[[C0]] to %[[N]] step %[[C1]] iter_args(%[[A2:.*]] = %[[T]])
+// CHECK:           func.call @getSparseTensorReaderNextF32(%[[R]], %[[DS]], %[[VB]])
+// CHECK:           %[[E0:.*]] = memref.load %[[DS]]{{\[}}%[[C0]]]
+// CHECK:           %[[E1:.*]] = memref.load %[[DS]]{{\[}}%[[C1]]]
+// CHECK:           %[[V:.*]] = memref.load %[[VB]][]
+// CHECK:           %[[T1:.*]] = sparse_tensor.insert %[[V]] into %[[A2]]{{\[}}%[[E1]], %[[E0]]]
+// CHECK:           scf.yield %[[T1]]
+// CHECK:         }
+// CHECK:         call @delSparseTensorReader(%[[R]])
+// CHECK:         %[[T4:.*]] = sparse_tensor.load %[[T2]] hasInserts
+// CHECK:         %[[R:.*]] = sparse_tensor.convert %[[T4]]
+// CHECK:         bufferization.dealloc_tensor %[[T4]]
+// CHECK:         return %[[R]]
+func.func @sparse_new_csc(%arg0: !llvm.ptr<i8>) -> tensor<?x?xf32, #CSC> {
+  %0 = sparse_tensor.new %arg0 : !llvm.ptr<i8> to tensor<?x?xf32, #CSC>
+  return %0 : tensor<?x?xf32, #CSC>
+}
+
 // CHECK-LABEL:   func.func @sparse_out(
 // CHECK-SAME:    %[[A:.*]]: tensor<10x20xf32, #sparse_tensor.encoding<{ dimLevelType = [ "dense", "compressed" ] }>>,
 // CHECK-SAME:    %[[B:.*]]: !llvm.ptr<i8>) {