diff --git a/packages/material-ui-system/src/Box/Box.d.ts b/packages/material-ui-system/src/Box/Box.d.ts
index 03c9ff9abe0a91..03b57d928076d8 100644
--- a/packages/material-ui-system/src/Box/Box.d.ts
+++ b/packages/material-ui-system/src/Box/Box.d.ts
@@ -3,7 +3,7 @@ import { OverridableComponent, OverrideProps } from '@material-ui/types';
 import { Theme } from '../createTheme';
 import {
   SxProps,
-  StandardCSSProperties,
+  AllSystemCSSProperties,
   ResponsiveStyleValue,
   OverwriteCSSProperties,
   AliasesCSSProperties,
@@ -140,40 +140,38 @@ export type ComposedStyleFunction<T extends Array<StyleFunction<any>>> = StyleFu
   ComposedStyleProps<T>
 >;
 
-export type CustomSystemProps = OverwriteCSSProperties & AliasesCSSProperties;
-
-export type SimpleSystemKeys = keyof Omit<
-  PropsFor<
-    ComposedStyleFunction<
-      [
-        typeof borders,
-        typeof display,
-        typeof flexbox,
-        typeof grid,
-        typeof palette,
-        typeof positions,
-        typeof shadows,
-        typeof sizing,
-        typeof spacing,
-        typeof typography,
-      ]
-    >
-  >,
-  keyof CustomSystemProps
+export interface CustomSystemProps extends AliasesCSSProperties, OverwriteCSSProperties {}
+
+export type SimpleSystemKeys = keyof PropsFor<
+  ComposedStyleFunction<
+    [
+      typeof borders,
+      typeof display,
+      typeof flexbox,
+      typeof grid,
+      typeof palette,
+      typeof positions,
+      typeof shadows,
+      typeof sizing,
+      typeof spacing,
+      typeof typography,
+    ]
+  >
 >;
 
-// The SimpleSystemKeys are subset of the StandardCSSProperties, so this should be ok
-// This is needed as these are used as keys inside StandardCSSProperties
-type StandardSystemKeys = Extract<SimpleSystemKeys, keyof StandardCSSProperties>;
+// The SimpleSystemKeys are subset of the AllSystemCSSProperties, so this should be ok
+// This is needed as these are used as keys inside AllSystemCSSProperties
+type StandardSystemKeys = Extract<SimpleSystemKeys, keyof AllSystemCSSProperties>;
 
-export type SystemProps = {
-  [K in StandardSystemKeys]?: ResponsiveStyleValue<StandardCSSProperties[K]>;
-} &
-  CustomSystemProps;
+export type SystemProps<Theme extends object = {}> = {
+  [K in StandardSystemKeys]?:
+    | ResponsiveStyleValue<AllSystemCSSProperties[K]>
+    | ((theme: Theme) => ResponsiveStyleValue<AllSystemCSSProperties[K]>);
+};
 
 export interface BoxTypeMap<P = {}, D extends React.ElementType = 'div'> {
   props: P &
-    SystemProps & {
+    SystemProps<Theme> & {
       children?: React.ReactNode;
       component?: React.ElementType;
       ref?: React.Ref<unknown>;
diff --git a/packages/material-ui-system/src/Box/Box.spec.tsx b/packages/material-ui-system/src/Box/Box.spec.tsx
index 4b724b061b6dc6..63797009db2e30 100644
--- a/packages/material-ui-system/src/Box/Box.spec.tsx
+++ b/packages/material-ui-system/src/Box/Box.spec.tsx
@@ -1,5 +1,5 @@
 import * as React from 'react';
-import { Box } from '@material-ui/system';
+import { Box, Theme } from '@material-ui/system';
 
 interface TestProps {
   test?: string;
@@ -46,4 +46,5 @@ function GapTest() {
 function ComponentPropTest() {
   <Box component="img" src="https://material-ui.com/" alt="Material UI" />;
   <Box component={Test} test="Test string" />;
+  <Box maxWidth={(theme: Theme) => theme.breakpoints.values.sm} />;
 }
diff --git a/packages/material-ui-system/src/styleFunctionSx/AliasesCSSProperties.d.ts b/packages/material-ui-system/src/styleFunctionSx/AliasesCSSProperties.d.ts
index 7fc4d4d3155847..3db17e7b33116c 100644
--- a/packages/material-ui-system/src/styleFunctionSx/AliasesCSSProperties.d.ts
+++ b/packages/material-ui-system/src/styleFunctionSx/AliasesCSSProperties.d.ts
@@ -237,7 +237,6 @@ export interface AliasesCSSProperties {
    * @see https://developer.mozilla.org/docs/Web/CSS/padding-bottom
    */
   paddingY?: StandardCSSProperties['paddingTop'];
-
   /**
    * The **`typography`** property  is shorthand for the CSS properties **`font-family`**, **`font-weight`**, **`font-size`**, **`line-height`**, **`letter-spacing`** and **`text-transform``**.
    * It takes the values defined under `theme.typography` and spreads them on the element.
diff --git a/packages/material-ui-system/src/styleFunctionSx/styleFunctionSx.d.ts b/packages/material-ui-system/src/styleFunctionSx/styleFunctionSx.d.ts
index 2a30a79bcc0a65..5800fbedc3cb71 100644
--- a/packages/material-ui-system/src/styleFunctionSx/styleFunctionSx.d.ts
+++ b/packages/material-ui-system/src/styleFunctionSx/styleFunctionSx.d.ts
@@ -26,13 +26,13 @@ export interface CSSSelectorObject<Theme extends object = {}> {
 
 /**
  * Map of all available CSS properties (including aliases) and their raw value.
- * Only used internally to map CCS properties to input types (responsive value,
+ * Only used internally to map CSS properties to input types (responsive value,
  * theme function or nested) in `SystemCssProperties`.
  */
 export interface AllSystemCSSProperties
   extends Omit<StandardCSSProperties, keyof OverwriteCSSProperties>,
-    AliasesCSSProperties,
-    OverwriteCSSProperties {}
+    OverwriteCSSProperties,
+    AliasesCSSProperties {}
 
 export type SystemCssProperties<Theme extends object = {}> = {
   [K in keyof AllSystemCSSProperties]:
diff --git a/packages/material-ui/src/Box/Box.d.ts b/packages/material-ui/src/Box/Box.d.ts
index 7c4cbffbe5ed04..56a6953113c838 100644
--- a/packages/material-ui/src/Box/Box.d.ts
+++ b/packages/material-ui/src/Box/Box.d.ts
@@ -4,7 +4,7 @@ import { Theme } from '../styles';
 
 export interface BoxTypeMap<P = {}, D extends React.ElementType = 'div'> {
   props: P &
-    SystemProps & {
+    SystemProps<Theme> & {
       children?: React.ReactNode;
       component?: React.ElementType;
       ref?: React.Ref<unknown>;
diff --git a/packages/material-ui/src/Grid/Grid.d.ts b/packages/material-ui/src/Grid/Grid.d.ts
index faac43bdd1f61e..37bcdd9e7ef3e8 100644
--- a/packages/material-ui/src/Grid/Grid.d.ts
+++ b/packages/material-ui/src/Grid/Grid.d.ts
@@ -14,7 +14,7 @@ export type GridSize = 'auto' | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12
 
 export interface GridTypeMap<P = {}, D extends React.ElementType = 'div'> {
   props: P &
-    SystemProps & {
+    SystemProps<Theme> & {
       /**
        * The content of the component.
        */
diff --git a/packages/material-ui/src/Stack/Stack.d.ts b/packages/material-ui/src/Stack/Stack.d.ts
index 629c8ebbb46976..bbe5398340544f 100644
--- a/packages/material-ui/src/Stack/Stack.d.ts
+++ b/packages/material-ui/src/Stack/Stack.d.ts
@@ -5,7 +5,7 @@ import { Theme } from '../styles/createTheme';
 
 export interface StackTypeMap<P = {}, D extends React.ElementType = 'div'> {
   props: P &
-    SystemProps & {
+    SystemProps<Theme> & {
       ref?: React.Ref<unknown>;
       /**
        * The content of the component.
diff --git a/packages/material-ui/src/Typography/Typography.d.ts b/packages/material-ui/src/Typography/Typography.d.ts
index eecbc311fb3f00..721e634f5be16a 100644
--- a/packages/material-ui/src/Typography/Typography.d.ts
+++ b/packages/material-ui/src/Typography/Typography.d.ts
@@ -10,7 +10,7 @@ export interface TypographyPropsVariantOverrides {}
 
 export interface TypographyTypeMap<P = {}, D extends React.ElementType = 'span'> {
   props: P &
-    SystemProps & {
+    SystemProps<Theme> & {
       /**
        * Set the text-align on the component.
        * @default 'inherit'