Narrator: But Shimi wasn't the only one who didn't see the young boy's destiny coming.
Qui Gon: I found him, he seemed like a nice kid, not, not at all angry. He had fear, but what person doesn't? I think his mother's death was really what pushed him to the dark side.
Vader's wife was very pregnant when she died 19 years ago. All of a sudden a 19 year old who is very strong in the force and has a distinct resembalance to him in his younger days rolls in from Vader's home planet with his old Master Obi-Wan (Who was the ONLY other person preset at the time his wife died. And to boot, the kid's last name is Skywalker.
So in answer to your question, he knew Luke was his son because his name is Darth Vader, and not Darth Retard.
-Forum post on why Vader knew Luke was his son.