The former glamour model was arrested upon her return to the UK on Thursday evening after failing to appear in court and was remanded in custody at a West London police station.
Price, 46, from Brighton, will appear at the Royal Courts of Justice on Friday, according to the Metropolitan Police.
It comes after an arrest warrant was issued by a judge after she failed to attend a hearing relating to her bankruptcies.
Price previously said she was “not running from matters”, but was “away working for a documentary on corrective surgeries” during the court hearing.
In a now-deleted statement on Instagram, Price wrote: “I am aware that I am about to be detained at the airport which is obviously what the courts feel is necessary.
“I do hope of course for my son’s sake who is with me that they will allow some dignity and protection for at least his sake as this will be extremely disturbing for him to see.
“Whilst I understand the importance and severity of the matter I do feel like I am being treated like a criminal.”
Price was declared bankrupt in November 2019 and again in March this year.
At a hearing in February, Price was ordered to pay 40% of her monthly income from the adult entertainment website OnlyFans to the trustee for the next three years, in relation to her first bankruptcy.
She was then declared bankrupt for a second time in March due to an unpaid tax bill worth more than £750,000 owed to HM Revenue and Customs.
Insolvency and Companies Court Judge Catherine Burton said Price had received “very clear warnings” that she must attend the hearing on July 30.
Price was due to face questions about her finances in the specialist bankruptcy court in London from barristers representing the trustee of her two bankruptcies.
A judge at a previous hearing said the former glamour model risked arrest if she did not attend further court dates, adding that evidence must be provided if she could not appear.
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But the court heard it had been reported that Price had travelled to Turkey.
Issuing the arrest warrant, Judge Burton said that Price had provided no explanation for her absence from the court hearing.
Judge Burton added that an arrest warrant was not issued “lightly”, but that Price had offered only “piecemeal co-operation” and failed to provide the “most basic information” in relation to her bankruptcies.
