diff --git a/packages/mui-material/src/StepLabel/StepLabel.js b/packages/mui-material/src/StepLabel/StepLabel.js
index e4d0df4d51f3c1..d3684e35dd2c6b 100644
--- a/packages/mui-material/src/StepLabel/StepLabel.js
+++ b/packages/mui-material/src/StepLabel/StepLabel.js
@@ -36,7 +36,7 @@ const useUtilityClasses = (ownerState) => {
       disabled && 'disabled',
       alternativeLabel && 'alternativeLabel',
     ],
-    labelContainer: ['labelContainer'],
+    labelContainer: ['labelContainer', alternativeLabel && 'alternativeLabel'],
   };
 
   return composeClasses(slots, getStepLabelUtilityClass, classes);
@@ -84,7 +84,6 @@ const StepLabelLabel = styled('span', {
     fontWeight: 500,
   },
   [`&.${stepLabelClasses.alternativeLabel}`]: {
-    textAlign: 'center',
     marginTop: 16,
   },
   [`&.${stepLabelClasses.error}`]: {
@@ -112,6 +111,9 @@ const StepLabelLabelContainer = styled('span', {
 })(({ theme }) => ({
   width: '100%',
   color: (theme.vars || theme).palette.text.secondary,
+  [`&.${stepLabelClasses.alternativeLabel}`]: {
+    textAlign: 'center',
+  },
 }));
 
 const StepLabel = React.forwardRef(function StepLabel(inProps, ref) {