Mario Testino and Bruce Weber have been suspended from working with fashion magazines including Vogue after models accused the photographers of sexually exploiting them.

Lawyers for Testino, known for photographing the royal family, disputed their accounts while Weber denied the claims to the New York Times, whose investigative report detailed a string of allegations.

Anna Wintour, the artistic director of Condé Nast, which publishes magazines including Vogue and GQ, said the publisher would not work with the pair for the “foreseeable future” following Saturday’s report.

Testino, who took the Duke and Duchess of Cambridge’s official engagement photos and was given an honorary OBE in 2014, was accused by 13 male assistants and models of subjecting them to sexual advances.

Some said the Peruvian photographer’s behaviour, going back to the mid-1990s, included groping and masturbation, the paper reported.

Ryan Locke, a model who worked with Testino on Gucci campaigns, accused him of being aggressive and flirtatious throughout shoots, adding: “He was a sexual predator.”

Hugo Tillman, a photographic assistant, said Testino had once grabbed him on the street and tried to kiss him and, a few weeks later, pinned him down on a bed until he was removed by another person.

Another assistant, Roman Barrett, said Testino had masturbated in front of him, and added: “Sexual harassment was a constant reality.”

One anonymous assistant said Testino had masturbated on him during a business trip, while another said the photographer had groped his backside, the newspaper reported.

The paper reported that lawyers for Testino, 63, said the sources could not be considered reliable.

The American photographer Weber, 71, was accused by 15 current and former models of subjecting them to unnecessary nudity and coercive sexual behaviour, according to the New York Times.

The model Josh Ardolf said that during a nude shoot his genitals had been grabbed by Weber. Another model, Bobby Roache, said Weber had tried to put his hands down his trousers during a casting in 2007.

In a statement to the paper from his lawyer, Weber said: “I’m completely shocked and saddened by the outrageous claims being made against me, which I absolutely deny.”

Wintour said the allegations against her “personal friends” had been “hard to hear and heartbreaking to confront”.

“I believe strongly in the value of remorse and forgiveness, but I take the allegations very seriously, and we at Condé Nast have decided to put our working relationship with both photographers on hold for the foreseeable future,” she said in a statement.

The publisher recently distanced itself from Terry Richardson in the wake of the Harvey Weinstein scandal, despite the denied claims about the photographer mistreating models having been aired years previously.

Lavely & Singer, the law firm representing the pair, has not responded to a request for comment on the claims about Weber from the Press Association and said there would be no additional comment regarding Testino. Representatives for both photographers are yet to respond to similar requests.