Steve Martin has sold his villa on the Caribbean island of St. Barthelemy, according to listing agent Christian Wattiau of Sibarth Real Estate, an exclusive affiliate of Christie’s International Real Estate.

The four-bedroom home originally went on the market in 2013 for $11.24 million. The roughly 3,000-square-foot home saw several price cuts and was last listed at $7.78 million, Mr. Wattiau said. He declined to give the final sale price or identify the buyers, but said they are a Swiss couple who “loved the location.”

The house sits on a hilltop and has sweeping ocean views, Mr. Wattiau said, with the islands of St. Martin and Anguilla also visible. The home has a two-tiered outdoor swimming pool overlooking the water and a covered outdoor dining area. In the garden, a colorful gazebo is surrounded by a lily pond.

Mr. Martin bought the property in 2007, Mr. Wattiau said. The comedian did not respond to requests for comment.