When asked by BBC News during a broadcast interview about their plans to start a family, Harry responded: "Not currently, no."
After laughing about the questions with his fiancé, the Prince continued on to say they would hopefully be able to have children in the near-future.
"No, of course. One step at a time," he said. "Hopefully we'll start a family in the near future."
The couple, who became engaged in London earlier this month, began dating in June 2016.
In a September 2017 interview with Vanity Fair, Meghan addressed their relationship in an interview for the first time.
"We're two people who are really happy and in love. We were very quietly dating for about six months before it became news, and I was working during that whole time, and the only thing that changed was people's perception," she told the publication.
In today's BBC News broadcast, the couple gave their first every interview together and revealed how their romance began. See all the heartwarming moments here.