The most difficult problem alcoholics face is self denial of his or her drinking problem .

Is this a good thesis statement for a essay on alcoholism ?
If not , any suggestion how to make it better ?

Just make sure it's the last sentence in your introduction -- just before "leaping" into the content of your paper. Make sure your introduction has at least one attention-grabbing idea.

http://grammar.ccc.commnet.edu/grammar/intros.htm