The couple, who separated last year, share twin daughters.
Court documents, initially obtained by People magazine, reveal that the couple's eight-year-old twin daughters, Finley and Harper, are currently under the care of the California Department of Children and Family Services amid the ongoing dispute.
They are staying with their grandmother, Priscilla Presley, during this period.
Despite the claims made by Presley, 49, Michael Lockwood has not faced any criminal charges, and his attorney vehemently denies the allegations.
In a statement to ABC News, Lockwood's attorney, Jeff Sturman, criticized Presley for presenting a one-sided and inaccurate portrayal of the situation in the publicly accessible court files.
While contesting the accusations, Lockwood has chosen not to engage in a public back-and-forth with Presley through the media.
He maintains his stance on the matter and refrains from disclosing further details at this time, as per his legal representation.
In the ongoing divorce proceedings documented in Los Angeles Superior Court, Presley, the daughter of music icon Elvis Presley, has alleged discovering inappropriate images and disturbing video content on Lockwood's computer, further complicating their legal battle.
Presley's spokesperson and legal counsel have opted not to provide a response to ABC News regarding the unfolding events.
The genesis of these claims dates back to June 2016 when Presley initially reported allegations of child abuse to the Beverly Hills Police, prompting subsequent involvement from the Tennessee Bureau of Investigation due to the incidents occurring in Tennessee.
Acknowledging the gravity of the situation, law enforcement agencies have been diligent in their efforts to assess the evidence and determine the veracity of the claims.
While no conclusive criminal activity has been identified in Beverly Hills, collaborative efforts with Tennessee authorities persist to unravel the complexities surrounding the case.
In parallel, the Tennessee Bureau of Investigation continues its scrutiny to ascertain the occurrence of any crimes within the state, emphasizing the ongoing review of potential evidentiary leads.
Despite the intense scrutiny, an official case has yet to be initiated by the TBI in connection with the allegations.
Meanwhile, the twin girls remain under the care of their grandmother, Priscilla Presley, who has taken to social media to dispel rumors and reassure the public of the girls' well-being.
Priscilla expressed gratitude for the outpouring of support and shared heartwarming photos of the twins to allay concerns amidst the tumultuous circumstances.
The tumultuous situation marks a stark contrast to the initial union between Lisa Marie Presley and Lockwood, a guitarist and producer, who exchanged vows in Japan in 2006 before parting ways last year.
As the legal battles unfold, financial disputes loom large, with Lockwood seeking $40,000 in monthly spousal support, while Presley contends with dwindling finances and substantial debts, further complicating the already contentious divorce proceedings.
Lisa Marie Presley, a high-profile figure due to her previous marriages to Michael Jackson and Nicolas Cage, faces a tumultuous chapter in her personal life, compounded by the challenges of parenthood and legal strife with her estranged husband, Michael Lockwood.