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A thesis statement is your main point or argument for your essay. It will be the reason that you are writing the essay. Your decision on whatever topic, and it must be backed up throughout the essay.
A thesis statement is a statement in an essay that you plan to support, discuss or prove. Not all thesis statements can be empirically proven, but many of them represent an argument. A thesis statement should also stand out as an indicator of the clear direction in which you will take your essay. It should be strongly worded, impossible to miss, and in shorter essays of a few pages, it should show up in the first paragraph or introduction of your paper. The thesis statement should be able to give a clear impression of which side you're on. Once you have chosen your thesis, you will have to back up as you write the essay. You must strongly persuade you reader to believe you, so in the conclusion, you will have to reiterate you thesis statement.
A thesis statement can be looked at like an equation: A topic (cats) + Your opinion about cats (Cats make the best pets). The only thing is, your opinion has to be an arguable one. (I would totally argue with you because I happen to believe that dogs make the best pets.) If I cant argue with you, then you have probably just stated a fact (cats have fur).