diff --git a/CHANGELOG.md b/CHANGELOG.md
index 16ca5e0b7852..de0f0433ed0f 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -135,6 +135,7 @@ Ref: https://keepachangelog.com/en/1.0.0/
 * (sdk/dec_coins) [#12903](https://github.com/cosmos/cosmos-sdk/pull/12903) Fix nil `DecCoin` creation when converting `Coins` to `DecCoins`
 * (x/upgrade) [#12906](https://github.com/cosmos/cosmos-sdk/pull/12906) Fix upgrade failure by moving downgrade verification logic after store migration.
 * (store) [#12945](https://github.com/cosmos/cosmos-sdk/pull/12945) Fix nil end semantics in store/cachekv/iterator when iterating a dirty cache.
+* (export) [#13029](https://github.com/cosmos/cosmos-sdk/pull/13029) Fix exporting the blockParams regression.
 
 ### Deprecated
 
diff --git a/server/export.go b/server/export.go
index a832c1340a9c..1ae4f1c723d5 100644
--- a/server/export.go
+++ b/server/export.go
@@ -82,8 +82,9 @@ func ExportCmd(appExporter types.AppExporter, defaultNodeHome string) *cobra.Com
 			doc.InitialHeight = exported.Height
 			doc.ConsensusParams = &tmproto.ConsensusParams{
 				Block: tmproto.BlockParams{
-					MaxBytes: exported.ConsensusParams.Block.MaxBytes,
-					MaxGas:   exported.ConsensusParams.Block.MaxGas,
+					MaxBytes:   exported.ConsensusParams.Block.MaxBytes,
+					MaxGas:     exported.ConsensusParams.Block.MaxGas,
+					TimeIotaMs: doc.ConsensusParams.Block.TimeIotaMs,
 				},
 				Evidence: tmproto.EvidenceParams{
 					MaxAgeNumBlocks: exported.ConsensusParams.Evidence.MaxAgeNumBlocks,
@@ -104,6 +105,7 @@ func ExportCmd(appExporter types.AppExporter, defaultNodeHome string) *cobra.Com
 			}
 
 			cmd.SetOut(cmd.OutOrStdout())
+			cmd.SetErr(cmd.OutOrStderr())
 			cmd.Println(string(sdk.MustSortJSON(encoded)))
 			return nil
 		},
diff --git a/tests/e2e/server/export_test.go b/tests/e2e/server/export_test.go
index 0238ddd8f5b9..dc9e8e763e68 100644
--- a/tests/e2e/server/export_test.go
+++ b/tests/e2e/server/export_test.go
@@ -35,7 +35,7 @@ import (
 func TestExportCmd_ConsensusParams(t *testing.T) {
 	tempDir := t.TempDir()
 
-	_, ctx, _, cmd := setupApp(t, tempDir)
+	_, ctx, genDoc, cmd := setupApp(t, tempDir)
 
 	output := &bytes.Buffer{}
 	cmd.SetOut(output)
@@ -50,6 +50,7 @@ func TestExportCmd_ConsensusParams(t *testing.T) {
 
 	require.Equal(t, simtestutil.DefaultConsensusParams.Block.MaxBytes, exportedGenDoc.ConsensusParams.Block.MaxBytes)
 	require.Equal(t, simtestutil.DefaultConsensusParams.Block.MaxGas, exportedGenDoc.ConsensusParams.Block.MaxGas)
+	require.Equal(t, genDoc.ConsensusParams.Block.TimeIotaMs, exportedGenDoc.ConsensusParams.Block.TimeIotaMs)
 
 	require.Equal(t, simtestutil.DefaultConsensusParams.Evidence.MaxAgeDuration, exportedGenDoc.ConsensusParams.Evidence.MaxAgeDuration)
 	require.Equal(t, simtestutil.DefaultConsensusParams.Evidence.MaxAgeNumBlocks, exportedGenDoc.ConsensusParams.Evidence.MaxAgeNumBlocks)