diff --git a/packages/x-date-pickers/src/CalendarPicker/CalendarPicker.test.tsx b/packages/x-date-pickers/src/CalendarPicker/CalendarPicker.test.tsx
index c232bd22977da..c8ae0bb16a547 100644
--- a/packages/x-date-pickers/src/CalendarPicker/CalendarPicker.test.tsx
+++ b/packages/x-date-pickers/src/CalendarPicker/CalendarPicker.test.tsx
@@ -14,6 +14,8 @@ import {
   createPickerRenderer,
 } from '../../../../test/utils/pickers-utils';
 
+const isJSDOM = /jsdom/.test(window.navigator.userAgent);
+
 describe('<CalendarPicker />', () => {
   const { render, clock } = createPickerRenderer({ clock: 'fake' });
 
@@ -412,5 +414,33 @@ describe('<CalendarPicker />', () => {
       expect(onChange.callCount).to.equal(0);
       expect(screen.getByMuiTest('calendar-month-and-year-text')).to.have.text('January 2022');
     });
+
+    it('should scroll to show the selected year', function test() {
+      if (isJSDOM) {
+        this.skip(); // Needs layout
+      }
+      render(
+        <CalendarPicker
+          value={adapterToUse.date(new Date(2019, 3, 29))}
+          onChange={() => {}}
+          views={['year']}
+          openTo="year"
+        />,
+      );
+
+      // const virtualScroller = document.querySelector('.MuiDataGrid-virtualScroller')!;
+      //
+      const rootElement = document.querySelector('.MuiCalendarPicker-root')!;
+      const selectedButton = document.querySelector('.Mui-selected')!;
+
+      expect(rootElement).not.to.equal(null);
+      expect(selectedButton).not.to.equal(null);
+
+      const parentBoundingBox = rootElement.getBoundingClientRect();
+      const buttonBoundingBox = selectedButton.getBoundingClientRect();
+
+      expect(parentBoundingBox.top).not.to.greaterThan(buttonBoundingBox.top);
+      expect(parentBoundingBox.bottom).not.to.lessThan(buttonBoundingBox.bottom);
+    });
   });
 });
diff --git a/packages/x-date-pickers/src/CalendarPicker/CalendarPicker.tsx b/packages/x-date-pickers/src/CalendarPicker/CalendarPicker.tsx
index 939d504b20dca..002edc9a9c54d 100644
--- a/packages/x-date-pickers/src/CalendarPicker/CalendarPicker.tsx
+++ b/packages/x-date-pickers/src/CalendarPicker/CalendarPicker.tsx
@@ -204,9 +204,7 @@ const CalendarPickerViewTransitionContainer = styled(PickersFadeTransitionGroup,
   name: 'MuiCalendarPicker',
   slot: 'ViewTransitionContainer',
   overridesResolver: (props, styles) => styles.viewTransitionContainer,
-})<{ ownerState: CalendarPickerProps<any> }>({
-  overflowY: 'auto',
-});
+})<{ ownerState: CalendarPickerProps<any> }>({});
 
 type CalendarPickerComponent = (<TDate>(
   props: CalendarPickerProps<TDate> & React.RefAttributes<HTMLDivElement>,
@@ -462,6 +460,11 @@ export const CalendarPicker = React.forwardRef(function CalendarPicker<TDate>(
     },
   );
 
+  React.useEffect(() => {
+    // Set focus to the button when switching from a view to another
+    handleFocusedViewChange(openView)(true);
+  }, [openView, handleFocusedViewChange]);
+
   return (
     <CalendarPickerRoot
       ref={ref}
diff --git a/packages/x-date-pickers/src/YearPicker/PickersYear.tsx b/packages/x-date-pickers/src/YearPicker/PickersYear.tsx
index c996c8cfbf2dc..0104147de76a3 100644
--- a/packages/x-date-pickers/src/YearPicker/PickersYear.tsx
+++ b/packages/x-date-pickers/src/YearPicker/PickersYear.tsx
@@ -141,7 +141,7 @@ const PickersYearRaw = (props: PickersYearProps) => {
 
   const classes = useUtilityClasses(ownerState);
 
-  // TODO: Can we just forward this to the button?
+  // We can't forward the `autoFocus` to the button because it is a native button, not a MUI Button
   React.useEffect(() => {
     if (autoFocus) {
       // `ref.current` being `null` would be a bug in MUI.
diff --git a/packages/x-date-pickers/src/YearPicker/YearPicker.tsx b/packages/x-date-pickers/src/YearPicker/YearPicker.tsx
index eda57d29453b2..f47c32d50b65f 100644
--- a/packages/x-date-pickers/src/YearPicker/YearPicker.tsx
+++ b/packages/x-date-pickers/src/YearPicker/YearPicker.tsx
@@ -4,7 +4,7 @@ import clsx from 'clsx';
 import { SxProps, useTheme } from '@mui/system';
 import { styled, useThemeProps, Theme } from '@mui/material/styles';
 import { unstable_composeClasses as composeClasses } from '@mui/material';
-import '@mui/material/utils';
+import { useForkRef } from '@mui/material/utils';
 import {
   unstable_useControlled as useControlled,
   unstable_useEventCallback as useEventCallback,
@@ -60,7 +60,8 @@ const YearPickerRoot = styled('div', {
   flexWrap: 'wrap',
   overflowY: 'auto',
   height: '100%',
-  margin: '0 4px',
+  padding: '0 4px',
+  maxHeight: '304px',
 });
 
 export interface YearPickerProps<TDate>
@@ -149,6 +150,7 @@ export const YearPicker = React.forwardRef(function YearPicker<TDate>(
 
     return utils.getYear(now);
   }, [now, value, utils, disableHighlightToday]);
+
   const [focusedYear, setFocusedYear] = React.useState(() => selectedYear || todayYear);
 
   const [internalHasFocus, setInternalHasFocus] = useControlled<boolean>({
@@ -243,9 +245,37 @@ export const YearPicker = React.forwardRef(function YearPicker<TDate>(
     }
   });
 
+  const scrollerRef = React.useRef<HTMLDivElement>(null);
+  const handleRef = useForkRef(ref, scrollerRef);
+  React.useEffect(() => {
+    if (autoFocus || scrollerRef.current === null) {
+      return;
+    }
+    const tabbableButton = scrollerRef.current.querySelector<HTMLElement>('[tabindex="0"]');
+    if (!tabbableButton) {
+      return;
+    }
+
+    // Taken from useScroll in x-data-grid, but vertically centered
+    const offsetHeight = tabbableButton.offsetHeight;
+    const offsetTop = tabbableButton.offsetTop;
+
+    const clientHeight = scrollerRef.current.clientHeight;
+    const scrollTop = scrollerRef.current.scrollTop;
+
+    const elementBottom = offsetTop + offsetHeight;
+
+    if (offsetHeight > clientHeight || offsetTop < scrollTop) {
+      // Button already visible
+      return;
+    }
+
+    scrollerRef.current.scrollTop = elementBottom - clientHeight / 2 - offsetHeight / 2;
+  }, [autoFocus]);
+
   return (
     <YearPickerRoot
-      ref={ref}
+      ref={handleRef}
       className={clsx(classes.root, className)}
       ownerState={ownerState}
       {...other}