You have to decide for yourself if kids are a deal-breaker for you or not. We can't answer that for you. And there's no "right" or "wrong" answer here.
It's fine if you want them and he doesn't, and you decide for yourself that you can live with that as long as you guys are together. It's also fine if you decide that kids are too important to you to sacrifice, and therefore you guys need to part ways. But there's really no in-between here. You're going to have to sacrifice either kids or this guy, so you have a tough choice ahead of you.
You also should talk to your BF about whether he's open to adoption, IVF treatments, donor sperm, or involving a surrogate with donor sperm. See how you both feel about these options. If you're open to some, or all, or none, of these options, that's perfectly fine ... but your BF should also be fully on board as well.
And remember that there are never any guarantees in life, no matter what route you choose to start a family, that you or a surrogate will become pregnant and successfully give birth to a healthy child, or that you will be approved for adoption. So you also have to talk to your BF about how you guys would handle that if you face difficulty or tragedy. And remember that these options are all quite expensive (on top of the normal high expenses associated with having children), so you're going to have to look at your budget and your health insurance plan as well to see if it's even financially viable.
A marriage, or a long-term relationship, won't work if both partners aren't in agreement about whether or not they want children. This isn't the kind of compromise you can make figuring "I'll just see if I can deal with it" or "I'll agree to it for now but maybe he will change his mind in a couple years." You can't go into a marriage/LTR just KNOWING that there's a good chance one of you will wind up resenting the other over this kind of situation.
So, again ... sit down by yourself and really think about how you feel about all this. Then talk to your BF and see how he feels. Then see how far apart you guys are, and reevaluate the relationship from there.
But you're going to have to talk to HIM about this, not a bunch of Internet strangers.