After several days of uncertainty, the Celtics and Cavaliers on Wednesday night completed the trade that brought All-Star point guard Kyrie Irving to Boston, a league source confirmed.

In return, Cleveland will get All-Star guard Isaiah Thomas, forward Jae Crowder, forward Ante Zizic, a 2018 first-round pick from the Brooklyn Nets, and a 2020 second-round pick the Celtics acquired from Miami.

According to an NBA source, Irving is ecstatic about the trade and the possibility of playing for Celtics coach Brad Stevens. He underwent his physical last Saturday and even picked out a jersey number (11).

The trade was in question after Thomas underwent a physical in Cleveland last Friday. The Cavaliers had concerns about Thomas’s injured hip and reportedly were seeking more compensation, such as one of the Celtics’ younger players or another high draft pick.

With Thomas injured and Irving available after his private trade demand became public, the Celtics made the difficult move of trading the beloved Thomas for the disgruntled Irving.

The Celtics and Thomas have discussed his hip injury most of the summer with Thomas telling the Globe on Aug. 7, his final interview before the trade, he was going through all the treatments administered by the team and was progressing.

The Cavaliers were deliberating after Thomas’s physical about whether to ask the Celtics for more compensation, and the Celtics were unhappy about any potential request, according to a team source.

Once a trade is announced in the NBA offseason, players have seven days to complete physicals with their new teams. After that seven-day window is closed, teams then have 24 hours to consider the medical results. The Irving-Thomas trade was initiated last Tuesday, so the sides had until Wednesday to finalize it.

Thomas suffered a torn labrum during the Celtics’ Eastern Conference finals series against the Cavaliers in May and has yet to be cleared for full-court basketball activities. He decided not to have surgery this summer.

After the trade was announced last week, Celtics president of basketball operations Danny Ainge said Thomas probably would face “a little bit of a delay’’ at the start of the regular season, and acknowledged that the injury had played some role in the decision to make the deal.

According to an NBA source, Thomas’s injury is not season-threatening but he is expected to miss a portion of the regular season. Thomas is in the final year of his deal and wants a maximum contract next season. The Cavaliers certainly were aware of Thomas’s injury prior to the deal.

“There’s never been an indication that I wouldn’t be back, and there’s never been an indication that this is something messing up my career,’’ Thomas told ESPN Tuesday.

“Maybe I am not going to be back as soon this season as everyone wants me to be, but I’m going to be back, and I’m going to be the same player again. No doctor has told me anything different than that.’’

Gary Washburn of the Globe staff contributed to this report. Adam Himmelsbach can be reached at adam.himmelsbach@globe.com. Follow him on Twitter @adamhimmelsbach.