"Robert Trump is very pleased with the New York Supreme Court's injunction against Mary Trump and Simon & Schuster," Charles Harder, Robert Trump's attorney, said in a statement.
Calling the actions of Mary Trump and Simon & Schuster "reprehensible," Harder added that he looked forward to "vigorously litigating this case."
"Short of corrective action to immediately cease their egregious conduct, we will pursue this case to the very end," Harder said.
Ted Boutrous, a renowned First Amendment attorney who represents Mary Trump, and who has also represented CNN on matters in the past, said the order "flatly violates the First Amendment."
"We will immediately appeal," Boutrous said. "This book, which addresses matters of great public concern and importance about a sitting president in an election year, should not be suppressed even for one day."
In a Tuesday evening affidavit, Simon & Schuster chief executive Jonathan Karp said that blocking the book from publication would "impose extraordinary economic harm" to the company.
Karp disclosed that Simon & Schuster had already printed approximately 75,000 copies of the book. Karp further said that it "no longer maintains control of the copies" that have been shipped to booksellers and online retailers.
"In my over 30 years working in book publishing, I am not aware of a book that was ever enjoined and censured from the public for any reason," Karp said.
Karp added that Simon & Schuster had been unaware of any confidentiality agreement Mary Trump had agreed to until "about two weeks ago, well after the book had been accepted, put into production, and printing had begun."
Simon & Schuster describes Mary Trump's book, "Too Much and Never Enough: How My Family Created the World's Most Dangerous Man," as a "revelatory, authoritative portrait of Donald J. Trump and the toxic family that made him."
The book was the fourth bestselling book on Amazon Tuesday afternoon.
The book, the publisher says, will shine "a bright light on the dark history of their family in order to explain how her uncle became the man who now threatens the world's health, economic security, and social fabric."
After that case was dismissed, Robert Trump took his case before the New York State Supreme Court.
Robert Trump has argued that as part of litigation related to Fred Trump's will, a settlement was reached that included a confidentiality provision. That provision, Robert Trump has argued, was agreed upon by all parties, including Mary Trump.
But a federal judge denied the Department of Justice's motion, writing in his decision that Bolton's book had already been widely distributed and that the court would "not order a nationwide seizure and destruction of a political memoir."