The fifth in line to the throne made the comments in New Zealand where he is relaxing after calling time on a decade-long military career, saying he felt "at a crossroads".
He said the birth of brother William's second child Princess Charlotte last week had increased his desire for a family of his own.
"Of course, I would love to have kids right now, but there's a process that one has to go through," he told Britain's Sky News.
"Tours like this are great fun, hopefully I'm doing alright by myself. 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 I guess."
(Prince Harry on his Australian Tour - AP photos)
The 30-year-old, who split from girlfriend Cressida Bonas last year, railed against being labelled "the party prince".
"I never wanted that," he said, adding that he was looking for a role where he could "give something back" when he officially leaves the military next month.
The prince, who has won praise in New Zealand for his down-to-earth manner, admitted both he and William wanted to work alongside "normal people" and earn a living.
"Both of us feel we need to have a wage as well, to work with normal people to keep us sane and keep us ticking along," he said.
"Surely in the future, from our point of view, if we want to make a big contribution and be taken seriously, we need to work alongside other people."
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