BBC
But Jesse Jackson said the family had a flurry of questions of their own for Jackson's personal doctor.
"When did the doctor come? What did he do? Did they inject him, if so with what," he said.
The rights leader claimed Dr Murray had gone missing in the hours immediately following the singer's death, which raised "questions of substance that will not go away until they are answered".
"He owes it to the family and to the public to say: 'These were the last hours of Michael's life and here's what happened.'"
Jackson, who had a history of health problems, collapsed at his Los Angeles home at about midday on Thursday.
A recording of the telephone call made to emergency services from his home was released on Friday.
Jesse Jackson: 'We are hurt'
The caller is heard to say Jackson is unconscious and has stopped breathing, and that a doctor is trying to revive him.
The singer was pronounced dead at the UCLA medical centre two hours after the call was made.
Jackson's family have spoken of their grief at his sudden death.
In a statement issued by his father Joseph Jackson, the star's relatives called it "one of the darkest moments of our lives".
"It leaves us, his family, speechless and devastated to a point where communication with the outside world seems almost impossible at times," the statement said.
The family also thanked fans for their messages of support.
The Reverend Al Sharpton, a family friend, said that Jackson's relatives were considering the idea of simultaneous global celebrations to commemorate his life.
This was because they wanted people to focus on the entertainer's music rather than his problems, Rev Sharpton said.
But Jesse Jackson said the family had a flurry of questions of their own for Jackson's personal doctor.
"When did the doctor come? What did he do? Did they inject him, if so with what," he said.
The rights leader claimed Dr Murray had gone missing in the hours immediately following the singer's death, which raised "questions of substance that will not go away until they are answered".
"He owes it to the family and to the public to say: 'These were the last hours of Michael's life and here's what happened.'"
Jackson, who had a history of health problems, collapsed at his Los Angeles home at about midday on Thursday.
A recording of the telephone call made to emergency services from his home was released on Friday.
Jesse Jackson: 'We are hurt'
The caller is heard to say Jackson is unconscious and has stopped breathing, and that a doctor is trying to revive him.
The singer was pronounced dead at the UCLA medical centre two hours after the call was made.
Jackson's family have spoken of their grief at his sudden death.
In a statement issued by his father Joseph Jackson, the star's relatives called it "one of the darkest moments of our lives".
"It leaves us, his family, speechless and devastated to a point where communication with the outside world seems almost impossible at times," the statement said.
The family also thanked fans for their messages of support.
The Reverend Al Sharpton, a family friend, said that Jackson's relatives were considering the idea of simultaneous global celebrations to commemorate his life.
This was because they wanted people to focus on the entertainer's music rather than his problems, Rev Sharpton said.
