In languages such as Java and C# interfaces provide a means for a class to be have in a polymorphic manner. That is to say a class can satisfy more than one contract - it can behave as multiple different types, a class of one type can be substituted for another. In other languages this can also be provided by multiple inheritance, but there are various disadvantages to this approach. However, having a class behave as more than one type is not the most common motivation for using interfaces.
By programming to interfaces instead of classes you can also decouple your program from specific implementations. This makes it much easier to substitute one class implementation for another. This is particularly useful when writing unit tests where you may wish to swap some heavyweight class implementation with a lightweight mock object. If your program only expects an interface type, and both the heavyweight object and mock object implement said interface, then they are very easy to substitute.
Also, consider a simple Java example where I say have a program that displays pages of data on the screen. Initially I want it to get the data from a database or XML files. If I write my program so that it uses interfaces I can define an interface like so:
And use it like so:
I can then write separate database and XML implementations that adhere to this interface:
Because I used an interface I can now use either implementation - Database or XML - interchangeably without having to change the parts of my program that ask for the page data. The XML and Database implementations likely do completely different things but all my program cares about is that the object supplying the page data implements the PageDatasource interface.
http://stackoverflow.com/questions/1686174/when-should-one-use-interfaces