I was going to make him take vacation time when his parents came to visit, but he had an appendectomy instead, so he got sick time.
Well, that's one way to do it, I guess. ;-)
My firm also does some version of paid parental leave to both parents -- I think it's 4 weeks for both, but I don't recall. DH's company, OTOH, still lives in the Stone Age. Before DS was born, DH's boss took him aside, told him how valuable he was and how much they appreciated his work, and that he should feel free to take time off when the baby was born -- "two, three days even." With, of course, the tone that he was dispensing a fantastic favor that DH deserved solely because of his special-ness. DH came home laughing and rolling his eyes. I asked him what he was going to do, and he said "I'm going to take as much as I want. What are they going to do, fire me?" He ended up taking only a few days completely off and then taking it very easy for the next week or two.*
Of course, that's still better than the place he worked when we were pregnant with DD, which announced that it was shutting down when I was 8 mos. pregnant. . . .
*Not because of worries about his job -- his parents had been planning to visit a week or two after DS was born, but then they had to evacuate for Hurricane Wilma (which apparently painted a bulls-eye on their area), so they just came up a couple of weeks early and ended up being here when DS was born. So I had plenty of help those first couple of weeks.