But bachelor Harry, 30, says he is waiting for the right moment – and the right woman to come along.
"There come times when you think now is the time to settle down, or now is not, whatever way it is, but I don't think you can force these things it will happen when it's going to happen," he told Sky News Monday.
"Of course, I would love to have kids right now," he said. "But there's a process that one has to go through."
He adds that while tours like the one he is currently on in New Zealand – where he has been shucking oysters and playing in pub quizzes – are fun, he would love to have someone alongside him.
"Hopefully I'm doing all right by myself," he said. "It would be great to have someone else next to me to share the pressure. But, you know, time will come and whatever happens, happens."
He also revealed that he got to share in some of the worldwide joy of niece Princess Charlotte’s arrival when William sent him photos of the royal baby.
"He sent me two photos; one before everybody else, which was nice, and then another – one with her back with George back home.
"So, as I said, I'm so looking forward to seeing her, to meeting her and to holding her."
Unfortunately, Harry didn’t get the chance to meet her during his brief visitback to England in April, because Charlotte delayed her entrance.
"She was a little bit late, hence I missed her. So she'll have to work on that! But apart from that, it's fantastic news for both of them. So I'm thrilled."
The prince, who says he is at a "crossroads" as he prepares to leave the British Army next month, says he doesn't know what he will do following his career. But he, and William, 32, feel they should earn a wage, alongside others in the "normal" world.
"Both of us feel as though we need to have a wage as well; to work with normal people, to keep us sane, to keep us ticking along," he added. "In the future, from our point of view, if we want to make a big contribution, or a valid contribution and be taken seriously, then we need to work alongside other people."