.NET Framework 4 is required to run and develop ASP.NET 4.0 sites.

Install .NET Framework 4

The Microsoft .NET Framework 4 web installer package downloads and installs the .NET Framework.Installation Requirements
  • Recommended Minimum: Pentium 1 GHz or higher with 512 MB RAM or more
  • Minimum disk space: 850 MB
  • Internet Information Services (IIS) version 6.0 or later
  • Microsoft Data Access Components 2.8 or later

Find ASP.NET 4.0 web hosting provider

You could also find ASP.NET 4 hosting provider and just to deploy your ASP.NET 4.0 website.
Fully Managed VPS Hosting