Win Web Hosting

I believe you cannot use Linux box to run ASP, you may use PHP or JSP/ Servlets in a Linux box, but ASP I’m afraid you cannot. You can ONLY access an ASP created script from a Linux client box, via web server running in Windows, such as IIS or Apache (Windows version).

Strictly speaking, there may not be an exact solution for what you’re asking, but here are some solutions that are close…

Grasshopper – Enables ASP.NET (not ASP Classic) to run as Java servlets on a Java webserver (Tomcat is a Java webserver)
http://dev.mainsoft.com/

ASP.NET on Mono – Although there are some patent intellectual property disputes, as it stands now Mono offers you the chance to run ASP.NET using practically any webserver on Linux.
http://www.mono-project.com/Main_Page

Chilisoft – A special Java server from Sun that will run ASP Classic
http://www.sun.com/software/chilisoft/index.xml

ASP on Apache – Not sure why you might prefer Tomcat over other public licensed webservers, but Apache is an option this is just one of many solutions
http://www.apache-asp.org/

I’d question your project specs to build using ASP – If that’s what you know then fine but if you’re building brand new I’d probably recommend a more modern architecture that would perform better like ASP.NET.