Prince Harry is rumoured to be off the market and "besotted" with an American actress.
"He’s happier than he’s been for many years," a source told the British publication, which also claims the British royal is "besotted".
Meghan, 35, is best known for her role as Rachel Zane in Suits.
The new couple is reportedly taking the relationship slowly.
"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,” the source also said.
“Harry has been desperate to keep the relationship quiet because he doesn’t want to scare Meghan off. He knows things will change when their romance is public knowledge but he also knows he can’t keep it a secret for long.”
Prince Harry and Meghan met in Toronto while the young royal was promoting his Invictus Games initiative in May.
Meghan is also an avid activist, and an ambassador for UN Women and World Vision.