Meghan Markle
Actress Meghan Markle is believed to be in a relationship with Prince HarryREUTERS/Mark Blinch

Prince Harry has been secretly dating a new American girlfriend and he's "besotted", it has been claimed.

The royal has been conducting a low-key, trans-Atlantic romance with Meghan Markle, an actress best-known for her role in the popular TV show Suits, for several months, according to reports.

Harry met Markle in Canada, who is from Los Angeles but lives in Toronto where Suits is filmed.

The 32-year-old prince is believed to have met the brunette bombshell there while promoting his Invictus Games for disabled servicemen.

The event is due to be held in the city next year.

The pair have been for several secretive dates in London, according to the Daily Star.

Markle, 35, who is also known for her humanitarian work, was spotted in the Royal box at Wimbledon this year, and posted a picture of her visiting Buckingham Palace on July 5.

She was married to producer Trevor Engelson but they split in 2013, according to US weekly.

Markle was also linked to golfer Rory McIlroy in 2014.

Despite being linked to a string of women, Prince Harry hasn't had a serious girlfriend in several years.

A source told the Star: "He's happier than he's been for many years.

"They are taking each week as it comes and just enjoying each other's company but it's fair to say that they love seeing each other and there's a definite chemistry between them."

Prince Harry
REUTERS/Frank Augstein