Meghan Markle and Prince Harry were delayed by a little over an hour after their plane was late taking off.
The pair are making only their third official overseas trip together, following visits to Dublin and a tour of Australia, New Zealand and the South Pacific last year.
The royal couple are set to have a busy few days with seven official engagements lined up.
After landing in the North African country Prince Harry, 35, and Meghan, 38, are expected to travel to the capital Rabat.
Thomas Reilly, Britain’s ambassador to Morocco, has tweeted about the royal tour, saying: “The visit is a recognition of the strong relationship between our two countries.
“It is a chance to enjoy #Morocco’s history and look to its future, focusing on the role of women, youth and #education in making that future @UKinMorocco.”
Meghan who is seven months pregnant, and her husband have no official duties this evening.
They are due to fly by helicopter tomorrow to Asni, at the foot of the Atlas Mountains to see the work being done by the charity Education For All, which helps provide an education for girls aged 12 to 18 in rural parts of the country.
Meghan is expected to take part in a Henna ceremony and the couple will then watch a secondary school football match.
The pair will then attend a formal reception hosted by the British Ambassador in Rabat.
Their itinerary on Monday starts with a visit to the Moroccan Royal Federation of Equestrian Sports, which helps support children with special needs.
There they will watch a riding demonstration and attend a horse-grooming session with some of the kids.
“They have landed”
They will then go to Villa Des Ambassadors, which teaches disadvantaged children how to cook traditional recipes and will meet disabled kids who work in a specially-designed restaurant.
Finally they will visit a market run by social entrepreneurs and meet young people.
Security fears had been sparked for the royal visit after riots erupted in Rabat earlier this week during a march by teachers demanding more pay.
Royal protection officers are said to be worried about the situation and have banned the royal couple from walkabouts.