Well it depends on what your trying to host? It is legal correct? Also, how large is the site?

Take a look at https://hostzil.la/ if your site isn't too big.

There's also Weebly - Create a free website and a free blog which is a great HTML 5 site.

Honestly, it depends on what quality of service you'd like. "Free" web hosts are haven for junk, spyware & malware sites. Their server software are in most cases out of date & open to security vulnerabilities.

The problem you'll run into with the free sites listed above, is limitations on what you'll be able to do.

If you want a quality & reliable service, you will need to pay.