Chris Christie, the former New Jersey governor who clashed with Jared Kushner during his brief stint running President Trump’s transition team, issued a sharply personal attack on Mr. Kushner’s father on Tuesday, saying he had committed a “loathsome” and “disgusting” crime.

The former governor’s new memoir, released this week, depicts Mr. Kushner, the president’s son-in-law and adviser, as being hellbent on retribution for Mr. Christie’s prosecution of his father more than a decade ago, when Mr. Christie was a United States attorney. Mr. Christie says Stephen K. Bannon, the former Trump strategist, told him Mr. Kushner had directed his firing from the transition team, and he paints Mr. Kushner as a shadow campaign manager and chief of staff who offered questionable advice.

Mr. Kushner’s father, Charles Kushner, a multimillionaire real estate executive, pleaded guilty in 2004 to 18 counts of tax evasion, witness tampering and making illegal campaign donations. He admitted hiring a prostitute to seduce his brother-in-law, who was cooperating in a federal campaign finance investigation, then videotaping the sexual encounter and sending it to the man’s wife, Mr. Kushner’s sister.

“Mr. Kushner pled guilty, he admitted the crimes. So what am I supposed to do as a prosecutor?” Mr. Christie said in an interview on “Firing Line With Margaret Hoover” on PBS. “If a guy hires a prostitute to seduce his brother-in-law, and videotapes it, and then sends the videotape to his sister to attempt to intimidate her from testifying before a grand jury, do I really need any more justification than that?”