diff --git a/src/Storages/MergeTree/MergeTreeDataSelectExecutor.cpp b/src/Storages/MergeTree/MergeTreeDataSelectExecutor.cpp
index 580c95b34dd..c0785899aab 100644
--- a/src/Storages/MergeTree/MergeTreeDataSelectExecutor.cpp
+++ b/src/Storages/MergeTree/MergeTreeDataSelectExecutor.cpp
@@ -813,6 +813,14 @@ Pipes MergeTreeDataSelectExecutor::spreadMarkRangesAmongStreams(
     return res;
 }
 
+static ExpressionActionsPtr createProjection(const Pipe & pipe, const MergeTreeData & data)
+{
+    const auto & header = pipe.getHeader();
+    auto projection = std::make_shared<ExpressionActions>(header.getNamesAndTypesList(), data.global_context);
+    projection->add(ExpressionAction::project(header.getNames()));
+    return projection;
+}
+
 Pipes MergeTreeDataSelectExecutor::spreadMarkRangesAmongStreamsWithOrder(
     RangesInDataParts && parts,
     size_t num_streams,
@@ -999,13 +1007,19 @@ Pipes MergeTreeDataSelectExecutor::spreadMarkRangesAmongStreamsWithOrder(
                 sort_description.emplace_back(data.sorting_key_columns[j],
                     input_sorting_info->direction, 1);
 
+            /// Project input columns to drop columns from sorting_key_prefix_expr
+            /// to allow execute the same expression later.
+            /// NOTE: It may lead to double computation of expression.
+            auto projection = createProjection(pipes.back(), data);
             for (auto & pipe : pipes)
                 pipe.addSimpleTransform(std::make_shared<ExpressionTransform>(pipe.getHeader(), sorting_key_prefix_expr));
 
             auto merging_sorted = std::make_shared<MergingSortedTransform>(
                 pipes.back().getHeader(), pipes.size(), sort_description, max_block_size);
 
-            res.emplace_back(std::move(pipes), std::move(merging_sorted));
+            Pipe merged(std::move(pipes), std::move(merging_sorted));
+            merged.addSimpleTransform(std::make_shared<ExpressionTransform>(merged.getHeader(), projection));
+            res.emplace_back(std::move(merged));
         }
         else
             res.emplace_back(std::move(pipes.front()));
@@ -1051,6 +1065,10 @@ Pipes MergeTreeDataSelectExecutor::spreadMarkRangesAmongStreamsFinal(
         use_uncompressed_cache = false;
 
     Pipes pipes;
+    /// Project input columns to drop columns from sorting_key_expr
+    /// to allow execute the same expression later.
+    /// NOTE: It may lead to double computation of expression.
+    ExpressionActionsPtr projection;
 
     for (const auto & part : parts)
     {
@@ -1061,6 +1079,9 @@ Pipes MergeTreeDataSelectExecutor::spreadMarkRangesAmongStreamsFinal(
             virt_columns, part.part_index_in_query);
 
         Pipe pipe(std::move(source_processor));
+        if (!projection)
+            projection = createProjection(pipe, data);
+
         pipe.addSimpleTransform(std::make_shared<ExpressionTransform>(pipe.getHeader(), data.sorting_key_expr));
         pipes.emplace_back(std::move(pipe));
     }
@@ -1133,6 +1154,7 @@ Pipes MergeTreeDataSelectExecutor::spreadMarkRangesAmongStreamsFinal(
     if (merged_processor)
     {
         Pipe pipe(std::move(pipes), std::move(merged_processor));
+        pipe.addSimpleTransform(std::make_shared<ExpressionTransform>(pipe.getHeader(), projection));
         pipes = Pipes();
         pipes.emplace_back(std::move(pipe));
     }
diff --git a/tests/queries/0_stateless/01137_order_by_func.reference b/tests/queries/0_stateless/01137_order_by_func.reference
new file mode 100644
index 00000000000..1dd2626a58f
--- /dev/null
+++ b/tests/queries/0_stateless/01137_order_by_func.reference
@@ -0,0 +1,10 @@
+2020-05-05 01:00:00	0
+2020-05-05 01:00:00	1
+2020-05-05 01:00:00	2
+2020-05-05 01:00:00	3
+2020-05-05 01:00:00	4
+999999
+999999
+999999
+999998
+999998
diff --git a/tests/queries/0_stateless/01137_order_by_func.sql b/tests/queries/0_stateless/01137_order_by_func.sql
new file mode 100644
index 00000000000..7fc2126b515
--- /dev/null
+++ b/tests/queries/0_stateless/01137_order_by_func.sql
@@ -0,0 +1,19 @@
+DROP TABLE IF EXISTS pk_func;
+CREATE TABLE pk_func(d DateTime, ui UInt32) ENGINE = MergeTree ORDER BY toDate(d);
+
+INSERT INTO pk_func SELECT '2020-05-05 01:00:00', number FROM numbers(1000000);
+INSERT INTO pk_func SELECT '2020-05-06 01:00:00', number FROM numbers(1000000);
+INSERT INTO pk_func SELECT '2020-05-07 01:00:00', number FROM numbers(1000000);
+
+SELECT * FROM pk_func ORDER BY toDate(d), ui LIMIT 5;
+
+DROP TABLE pk_func;
+
+CREATE TABLE pk_func(i UInt32) ENGINE = MergeTree ORDER BY -i;
+INSERT INTO pk_func SELECT number FROM numbers(1000000);
+INSERT INTO pk_func SELECT number FROM numbers(1000000);
+INSERT INTO pk_func SELECT number FROM numbers(1000000);
+
+SELECT * FROM pk_func ORDER BY -i LIMIT 5;
+
+DROP TABLE pk_func;
diff --git a/tests/queries/0_stateless/01137_order_by_func_final.reference b/tests/queries/0_stateless/01137_order_by_func_final.reference
new file mode 100644
index 00000000000..c97316543da
--- /dev/null
+++ b/tests/queries/0_stateless/01137_order_by_func_final.reference
@@ -0,0 +1,3 @@
+2020-05-05	704982704
+2020-05-06	704982704
+2020-05-07	704982704
diff --git a/tests/queries/0_stateless/01137_order_by_func_final.sql b/tests/queries/0_stateless/01137_order_by_func_final.sql
new file mode 100644
index 00000000000..32a9085e9ee
--- /dev/null
+++ b/tests/queries/0_stateless/01137_order_by_func_final.sql
@@ -0,0 +1,10 @@
+DROP TABLE IF EXISTS pk_func;
+CREATE TABLE pk_func(d DateTime, ui UInt32) ENGINE = SummingMergeTree ORDER BY toDate(d);
+
+INSERT INTO pk_func SELECT '2020-05-05 01:00:00', number FROM numbers(100000);
+INSERT INTO pk_func SELECT '2020-05-06 01:00:00', number FROM numbers(100000);
+INSERT INTO pk_func SELECT '2020-05-07 01:00:00', number FROM numbers(100000);
+
+SELECT toDate(d), ui FROM pk_func FINAL;
+
+DROP TABLE pk_func;