All three children have consented to the co-guardianship.
Superior Court Judge Mitchell Beckloff named TJ Jackson as the children's co-guardian who will now share responsibilities for raising the siblings, who range in ages from 10 to 15.
The judge made the ruling after considering a letter submitted by singer Diana Ross, who was named in Michael Jackson's will as a potential guardian, and a letter presented by cousins of the singer who sought a delay in the appointment.
Debra Jackson and her son Anthony urged Beckloff to delay his ruling, saying they were concerned that family matriarch Katherine Jackson was being coerced. The pair said they had been ostracised from the family and that the children may not be as excited about TJ Jackson's appointment as has been presented to the judge.
But Beckloff noted that all three children have said they consent to the co-guardianship, and that an independent investigation he ordered showed they "have a very strong, loving relationship with TJ Jackson".
He urged TJ Jackson to consider allowing the cousins to visit the family, but said there was no reason to delay. The appointment means that Katherine Jackson (82) and TJ Jackson (34) will share responsibilities for raising the children. If one of them is no longer able to serve, the other would become the children's sole guardian.
Exchanging pleasantries
TJ Jackson smiled as he entered the courtroom wearing a dark suit and tie and spoke only briefly to exchange pleasantries with the judge at the start of the hearing. He appeared calm afterward, but was escorted in and out of the courthouse by deputies and did not speak with reporters.
Debra and Anthony Jackson also declined comment after the hearing, merely confirming their names and relationship to the family.
Their letter and one submitted by Diana Ross were not filed with the court and will not be made public, court officials said.
Katherine Jackson's attorney, Sandra Ribera, disputed their claims that her client is being improperly influenced.
"Mrs Jackson is well informed," she said. "Mrs Jackson is a strong woman who cannot be influenced by anyone when it comes to decisions about these children."
Temporary guardian
TJ Jackson was appointed a temporary guardian last month when Katherine Jackson was incommunicado during a stay at an Arizona spa with relatives.
Beckloff has said Katherine Jackson is doing a great job raising Prince, Paris and Blanket Jackson, but noted that having a co-guardian will allow for continuity in their lives if she is no longer able to serve.
TJ Jackson was a relative unknown to the public before the recent rift in the family. He performs in a band called 3T along with his brothers and was close to his uncle, Michael, before the pop star died in June 2009 at age 50.
TJ Jackson is a cousin of the children and has remained close to them in the years since the singer's death.
Wednesday's hearing had been expected to be a legal formality and although Beckloff made time to hear the cousins' grievances, the judge didn't waver in his view that the co-guardianship arrangement was appropriate. He noted that it is frequently employed in other cases.
The mother of the two eldest children, Deborah Rowe, has indicated she is comfortable with the arrangement. Michael Jackson's youngest son, Blanket, was born to a surrogate and the mother's identity has never been revealed. – Sapa-AP