"The Jackson family has full confidence in the legal process, and commends the ongoing efforts of the L.A. County Coroner, the L.A. District Attorney and the L.A. Police Department. The family looks forward to the day that justice can be served," the family said in a statement following the release of the warrant.
Murray remains the focus of a manslaughter investigation. The final results of the autopsy have not been released.
"I have told the truth and the truth will prevail," Murray last week in his first public statement since Jackson died on June 25.
In a video statement posted to YouTube, Murray thanked his friends and patients for their letters and messages of support.
"I want to thank all of my patients and friends who have sent such kind e-mails, letters and messages to let me know of your support and prayers for me and my family. Because of all that is going on, I am afraid to return phone calls or use my e-mail. Therefore I recorded this video to let all of you know that I have been receiving your messages. I have not been able to thank you personally, which as you know is not normal for me. Your messages give me strength and courage and keep me going. They mean the world to me," he said.
"Please don't worry, as long as I keep God in my heart and you in my life I will be fine. I have done all I could do. I told the truth and I have faith the truth will prevail. God bless you and thank you," he said in the one-minute video.
The Los Angeles County coroner has completed its autopsy and toxicology, but is holding the its findings until the police complete their investigation. Speculation is mounting that Murray will be charged with manslaughter.
Investigators found numerous vials and pills bottles in Jackson's home and in Murray's offices.
The Texas-based cardiologist has a record of disciplinary actions taken against him.