Local authorities on Long Island said Monday that they were waiting for calmer seas before resuming the search for a private plane that went down with four people aboard, including “Builder to the Stars” Ben Krupinski, according to a report.

The search for two people still missing continued along the land, but rescue workers were waiting for “winds and surf conditions to improve” before resuming the ocean search, East Hampton police Chief Michael D. Sarlo told Newsday.

The Coast Guard suspended its search Sunday afternoon for the wreckage of the Piper PA-31 Navajo, which plunged into the Atlantic off Amagansett about 3:20 p.m. Saturday.

“This is always a difficult decision, and we cannot imagine the pain of those families who have lost their loved ones,” Coast Guard Capt. Kevin B. Reed, commander of Sector Long Island Sound, said in a statement.

The four people aboard the plane have been identified as Krupinski, 70; his wife, Bonnie, 70; their grandson, William Maerov, 22, and the pilot, Jon Dollard, 47, of Hampton Bays.

“The Krupinski, Bistrian, Maerov and Dollard families are grateful for the sincere outpouring of support from so many who knew and loved them,” family reps said Sunday evening on Instagram.

“We extend our deep appreciation to the U.S. Coast Guard and other emergency responders on land, sea and air including the East Hampton Town Police Department, NY and scores of others.

“A memorial service will be announced in coming weeks. In honor of Ben & Bonnie, with whom we have been fortunate to work as members of their extended family, we continue their commitment to delivering excellence in service to all of you in the community.”

Two bodies were recovered from the ocean Saturday, but their identities have not yet been confirmed, said Coast Guard spokesman James Curto. The identities of those still missing were unavailable.

East Hampton Town Supervisor Peter Van Scoyoc said that according to preliminary information, the plane plummeted during a thunderstorm.

“The initial report I received was that they were going through a squall,” Fagan told Newsday.

The prominent East Hampton builder crafted luxury mansions for the likes of Billy Joel and Martha Stewart, both of whom released statements Sunday.

“I’m shocked and saddened to hear of the death of Ben and Bonnie Krupinski,” Joel said, according to the newspaper. “Ben undertook to get my East Hampton house project completed in the 1980s when the construction progress had been stalled due to bad management.”

Stewart said she was “devastated by the news of the untimely passing of my dear friends, Ben and Bonnie Krupinski,” and described Maerov as “an outstanding young man — very curious, well educated, well-traveled and a delight to be with.”

“I spent a lot of time with Will, advising him on business plans and together we planned his grandparents 70th birthday party last summer. His potential was lost in this very unexpected way.

“I will miss each of them so very, very much.”