ASP.NET Web API is a framework that makes it easy to build HTTP services that reach a broad range of clients, including browsers and mobile devices. ASP.NET Web API is an ideal platform for building RESTful applications on the .NET Framework. (Source MSDN)
To get started checkout an article from Mike Wasson - Getting Started with ASP.NET Web API 2 (C#)
To get started checkout an article from Mike Wasson - Getting Started with ASP.NET Web API 2 (C#)