Nona Paris Lola Jackson, 36, had asked a judge to grant her joint physical custody of Jackson's 10-year-old son, Prince Michael, and 9-year-old daughter, Paris. She also claims to be the mother of 5-year-old Prince Michael II.
"I feel her evidence fails to establish any genetic relationship between herself and the Jackson-Rowe children," Judge Robert A. Schnider said today.
Schnider also denied the woman's request to nullify Jackson's marriages with his former wives Deborah Rowe and Lisa Marie Presley.
Nona Jackson spoke to the court through a telephone and loudspeaker. Jackson and Rowe did not attend the hearing. Jackson settled a custody fight with Rowe over his two eldest children in September. Details of that agreement have not been released. Jackson has not identified the mother of Prince Michael II.
Nona Jackson had sought joint physical custody of the children while giving Jackson legal custody. In court papers, she offered a tentative schedule for visits.
She also asked the court to grant her child support in an amount to be determined by Jackson, along with possession of his Neverland Ranch and a home in California's San Fernando Valley.
In court papers, Nona Jackson contended that "Michael and I are a sexually active couple and have been this way from the beginning." She also claimed to have written more than 3,000 songs for him.
The woman's three previous attempts to interfere in the custody battle between Rowe and Jackson were rejected by the same judge last November, in February and in May on grounds that she had failed to notify Jackson and Rowe of the hearings.
It was unclear what, if any, legal options she had left following Wednesday's ruling.