Can we Overload or Override static methods in java ?

Let us first define Overloading and Overriding.

Overriding : Overriding is a feature of OOP languages like Java that is related to run-time polymorphism. A subclass (or derived class) provides a specific implementation of a method in superclass (or base class).
The implementation to be executed is decided at run-time and decision is made according to the object used for call. Note that signatures of both methods must be same.

Overloading: Overloading is also a feature of OOP languages like Java that is related to compile time (or static) polymorphism. This feature allows different methods to have same name, but different signatures, especially number of input parameters and type of input paramaters. Note that in both C++ and Java, methods cannot be overloaded according to return type.

Can we overload static methods?
The answer is ‘Yes’. We can have two ore more static methods with same name, but differences in input parameters. For example, consider the following Java program.

// filename Test.java public class Test {     public static void foo() {         System.out.println("Test.foo() called ");     }     public static void foo(int a) {         System.out.println("Test.foo(int) called ");     }     public static void main(String args[])     {         Test.foo();         Test.foo(10);     } }

Output:

Test.foo() called 
Test.foo(int) called 

Can we overload methods that differ only by static keyword?
We cannot overload two methods in Java if they differ only by static keyword (number of parameters and types of parameters is same). See following Java program for example. This behaviour is same in C++ (See point 2 of this).

// filename Test.java public class Test {     public static void foo() {         System.out.println("Test.foo() called ");     }     public void foo() { // Compiler Error: cannot redefine foo()         System.out.println("Test.foo(int) called ");     }     public static void main(String args[]) {         Test.foo();     } }

Output: Compiler Error, cannot redefine foo()

Can we Override static methods in java?
We can declare static methods with same signature in subclass, but it is not considered overriding as there won’t be any run-time polymorphism. Hence the answer is ‘No’.
If a derived class defines a static method with same signature as a static method in base class, the method in the derived class hides the method in the base class.

/* Java program to show that if static method is redefined by    a derived class, then it is not overriding. */   // Superclass class Base {           // Static method in base class which will be hidden in subclass     public static void display() {         System.out.println("Static or class method from Base");     }            // Non-static method which will be overridden in derived class      public void print()  {          System.out.println("Non-static or Instance method from Base");     } }   // Subclass class Derived extends Base {           // This method hides display() in Base     public static void display() {          System.out.println("Static or class method from Derived");     }           // This method overrides print() in Base     public void print() {          System.out.println("Non-static or Instance method from Derived");    } }   // Driver class public class Test {     public static void main(String args[ ])  {        Base obj1 = new Derived();                 // As per overriding rules this should call to class Derive's static        // overridden method. Since static method can not be overridden, it        // calls Base's display()        obj1.display();                  // Here overriding works and Derive's print() is called        obj1.print();         } }

Output:

Static or class method from Base
Non-static or Instance method from Derived

Following are some important points for method overriding and static methods in Java.
1) For class (or static) methods, the method according to the type of reference is called, not according to the abject being referred, which means method call is decided at compile time.

2) For instance (or non-static) methods, the method is called according to the type of object being referred, not according to the type of reference, which means method calls is decided at run time.

3) An instance method cannot override a static method, and a static method cannot hide an instance method. For example, the following program has two compiler errors.

/* Java program to show that if static methods are redefined by    a derived class, then it is not overriding but hidding. */   // Superclass class Base {           // Static method in base class which will be hidden in subclass     public static void display() {         System.out.println("Static or class method from Base");     }            // Non-static method which will be overridden in derived class      public void print()  {          System.out.println("Non-static or Instance method from Base");     } }   // Subclass class Derived extends Base {           // Static is removed here (Causes Compiler Error)     public void display() {         System.out.println("Non-static method from Derived");     }           // Static is added here (Causes Compiler Error)     public static void print() {         System.out.println("Static method from Derived");    } }

4) In a subclass (or Derived Class), we can overload the methods inherited from the superclass. Such overloaded methods neither hide nor override the superclass methods — they are new methods, unique to the subclass.

References:
http://docs.oracle.com/javase/tutorial/java/IandI/override.html