Sabres general manager Darcy Regier said Regehr wasn't going to fit in the team's long-term rebuilding plans.
Regehr and C Steve Ott were held out of practice, and should be ready to play Tuesday.
Regehr spent the past two seasons with Buffalo after 11 seasons with Calgary, where he played for Sutter.
Regehr becomes the third defenseman traded by the defense-rich team in three weeks.
Regier said the Kings first expressed interest in Regehr about two weeks ago.
Defenseman Adam Pardy was recalled from AHL Rochester to replace Regehr's roster spot.
Veteran defenseman Robyn Regehr dropped his no-trade clause to allow the Buffalo Sabres to deal him to the Los Angeles Kings.
Regehr was held out of practice in Buffalo on Monday, before the Sabres traveled to Pittsburgh, where they'll play on Tuesday night.
Regehr becomes the third blue-liner traded by defense-rich Buffalo in three weeks.
"That's all being worked out behind the scenes right now, " Regehr said.
The trade was announced by both teams on Monday night, with the Kings saying the deal is contingent on Regehr passing a medical exam.
Interim head coach Ron Rolston said Regehr was given a "maintenance day" to rest, but also hinted the Sabres might be trading a defenseman.
Rob Scuderi has logged heavy minutes on the Kings' penalty kill in his veteran teammates' absence, and Regehr should provide steady physical play alongside him.
Regehr, in the final year of his contract, has waived his no-trade clause once already to allow Calgary to deal him to Buffalo two years ago.
Regehr did speak to reporters in the locker room after practice and acknowledged the possibility he could be dealt, calling it "part and parcel" of the job.
He has two assists in 29 games this season, but Los Angeles covets Regehr's physical defensive play while defensemen Matt Greene and Willie Mitchell remain out with long-term injuries.
The bruising, playoff-tested Regehr should fill one of the few remaining needs for the surging Kings, who have earned seven points in the first four games of their five-game road trip after beating Dallas on Sunday.
The Sabres were so intent on getting Regehr two years ago that owner Terry Pegula, his wife, Kim, and former Sabres coach Lindy Ruff left the draft in Minnesota to meet with Regehr at his cabin in northern Saskatchewan.
Regehr isn't a prolific scorer, topping 20 points just three times in his career, but the Kings know about his toughness firsthand: Regehr ended Los Angeles forward Justin Williams' season in March 2011, separating his right shoulder with a hard, clean hit along the boards.
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