Of course they do! However their reading habits and genres are different than women.
You would guess that women read romances, but besides that specific genre of fiction, women overwhelmingly read more novels than men. Men tend to read much more self help books, history, and true crime books.
One study suggested that the way women and men read are different as well. Women tend to delve into a book and immerse themselves in it, savoring the experience.
Men tend to take a casual approach and often scan or skip pages, even chapters.

In a study cited in an online article by The Guardian, the ratio of men readers to women readers was 26% men to 48% women.
If you are a man, what types of books do you read?
If you are a woman, what do your male friends read?
