The question here is why you would need to minify html, gzip should be fine on its own, the biggest single cost in front end speed is http requests at the server end and images in terms of pure bandwidth. HTML is so small it's barely worth the effort.
I would suggest using tools like Google Page Speed or Yahoo!'s YSlow (and reading Yahoo!'s research on the topic) to see where the problems are before you minify code - IMHO it's not a very reliable process and is more likely to cause problems with cross browser compatibility down the line.
This answer at StackOverFlow covers minification in some detail.