They probably won’t. The producers have said that Sheldon is in love with science and that won’t change. Not to mention he doesn’t really understand feelings at all. I’ve always thought of their relationship as more of a brother sister thing, and I think that's how Penny feels about it too.

Sheldon and Penny will get together. Penny is loving, affectionate, and constantly heartbroken by the guys she dates. Sheldon is loyal. Plus he needs Penny for the anchor she will provide in his life. He cannot be alone when sick or whatever. She will initiate sex (she is a big ole 5). This is the kind of love that people just wake up one day and realize they are in love and have been for awhile. They are as opposite as they can be. However, Sheldon will come to accept some sort of a social life even if he does not understand it and Penny will adapt to the ramblings of a genius. Kids, probably will need several to balance each other out. Imagine 6 kids. 3 sets of twins and only one set fraternal. Debate, cheerleading, science, and football. Never boring

yes once or twice but it always ends at the end of the
episode

Penny and Sheldon do not together which makes sense since Sheldon is self reproductive and will one day eat to much tai food and multiplicate (episode joke) but Penny and Leonard do get together a few times but never seem to be able to make it work

well they dont really but in one episode sheldon goes to penny's apartment and sheldon has with her and they play some games and then they go to sleep and when leonard sees sheldon leave penny's apartment sheldon says "I now have a better understanding of friends with benefits"

i don't think so i love the weird relationship between the two but i don't think it will ever go past friendship sheldon is just to into his work to understand feelings for other people. i really do think they're great friends but i don't think they would work well in a romantic relationship.

It's highly unlikely because the whole point (and awesomeness) that is Sheldon is based on the fact that he doesn't understand proper human interaction. It would be cute, but illogical...I see their relationship as being more like best friends because they have an understanding and comfortableness that doesn't really translate into romance. IMO.