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MVP recognition and trade request (1971–1975)

During the offseason, Alcindor and Robertson joined Bucks head coach Larry Costello on a three-week basketball tour of Africa on behalf of the State Department. In a press conference at the State Department on June 3, 1971, he stated that going forward he wanted to be called by his Muslim name, Kareem Abdul-Jabbar, its translation roughly "noble one, servant of the Almighty ".

Abdul-Jabbar remained a dominant force for the Bucks. The following year, he repeated as scoring champion (34.8 ppg and 2,822 total points) and became the first player to be named the NBA Most Valuable Player twice in his first three years. In 1974, Abdul-Jabbar led the Bucks to their fourth consecutive Midwest Division title, and he won his third MVP Award in four years. He was among the top five NBA players in scoring (27.0 ppg, third), rebounding (14.5 rpg, fourth), blocked shots (283, second), and field goal percentage (.539, second). Milwaukee advanced to the 1974 finals, losing to the Boston Celtics in seven games.

Robertson, who became a free agent in the offseason, retired in September 1974 after he was unable to agree on a contract with the Bucks. On October 3, Abdul-Jabbar privately requested a trade to the New York Knicks, with his second choice being the Washington Bullets (now the Wizards) and his third, the Los Angeles Lakers. He had never spoken negatively of the city of Milwaukee or its fans, but he said that being in the Midwest did not fit his cultural needs. Two days later in a pre-season game before the 1974–75 season against the Celtics in Buffalo, New York, Abdul-Jabbar caught a fingernail in his left eye from Don Nelson and suffered a corneal abrasion; this angered him enough to punch the backboard stanchion, breaking two bones in his right hand. He missed the first 16 games of the season, during which the Bucks were 3–13, and returned in late November wearing protective goggles. On March 13, 1975, sportscaster Marv Albert reported that Abdul-Jabbar requested a trade to either New York or Los Angeles, preferably to the Knicks. The following day after a loss in Milwaukee to the Lakers, Abdul-Jabbar confirmed to reporters his desire to play in another city. He averaged 30.0 points during the season, but Milwaukee finished in last place in the division at 38–44.