Another 6,500 tickets will be issued for a simulcast of the service at the nearby Nokia theatre. It means a total of 17,500 fans will be able to see the events free.
Officials said 8,750 pairs of tickets would be allotted to the successful entrants after 1800 Saturday (0100 GMT Sunday) and notifications would go out later on Sunday.
Those selected will be able to get their tickets via Ticketmaster on Monday, officials said.
Originally, the Staples Center website said only US residents could apply for tickets, but AEG's Randy Phillips later told the BBC that that was not the case.
Officials appealed to other fans to watch the memorial service from their own homes, amid fears that thousands of people without tickets could flood the area.
"If you do not have a ticket, if you are not credentialed, not only will you not be allowed at these venues, you will not be allowed in this area," said Los Angeles assistant police chief Earl Paysinger.
Jackson had been rehearsing for his London concerts at the Staples Center.
In a press conference, family representative Ken Sunshine said they wanted to accommodate as many fans as possible.
"It is all about the fans," he said.
Officials said that no funeral procession would take place and the memorial service would not be shown on big screens outside the venues. Free pool feeds will be made available to media organisations for broadcast, they said.
Earlier, a lawyer for Michael Jackson's former wife Debbie Rowe said she was undecided about whether to fight for custody of her two children with the star.
The Staples Center was where Michael Jackson's rehearsals were held
On Thursday, Ms Rowe won a delay in a custody hearing while she decides if she wants to raise Michael Joseph Jackson Jr, known as Prince Michael, 12, and Paris Michael Katherine Jackson, 11.
The singer's youngest son - seven-year-old Prince Michael II - was born to a surrogate mother whose identity has never been revealed.
In his will, Jackson stipulated that his mother, Katherine, 79, should have permanent custody of all three children. She currently has temporary custody of them.
A judge has delayed a guardianship hearing - scheduled for Monday - until 13 July at the request of Ms Rowe and Katherine Jackson.
It is still not known what caused Jackson's death last week at the age of 50.
He collapsed at his home and was pronounced dead two hours later at the UCLA medical centre.
An autopsy was conducted but results are not expected for several weeks. The Jackson family had a second autopsy performed and those results are also pending.
The Los Angeles County Coroner's office has said there is no evidence of foul play.
It added that the results of toxicology tests could take weeks to come back.
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