The NYT also reports that fashion photographer Bruce Weber, who contributed to Vogue in the past, as well, faces sexual misconduct claims from 15 different male models.
A total of 13 male assistants and models told the New York Times Testino, 63, subjected them to inappropriate sexual advances. A lot of touching.
Men said to the paper that they had asked to participate in "breathing exercises" which could include inappropriate touching, while model Bobby Roache said Weber tried to put his hands down Roache's pants during a casting in 2007.
Reps for both photographers are adamantly denying the models' accounts, which the Times said were recalled "with remarkable consistency".
Fifteen models have come forward with allegations against Weber, who has photographed celebrities like Leonardo DiCaprio, David Bowie and Calvin Klein.
The allegations against Testino, The Times reports, date back to the 1990s.
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".
The firm also said several former employees it had spoken to were "shocked by the allegations" and "could not confirm any of the claims", according to The New York Times. Representatives for both photographers are yet to respond to similar requests.
Testino's attorney, Andrew Brettler, said in an email to The Associated Press late Saturday, "We are not providing any further comment at this time".
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Following a series of sexual allegations against Mario Testino, the Stuart Weitzman brand has said it will cease working with the photographer, who has shot many of its advertising images over the years, including the spring '18 campaign.
He claimed that when he told contemporaries he was working with the Peru-born photographer they would joke: "tighten your belt", labelling him as "notorious".
"Then he crawls on the bed, climbs on top of me and says, "I'm the girl, you're the boy", Mr Locke said.
Former assistants said Testino had a pattern of hiring young, heterosexual men and subjecting them to increasingly aggressive advances.
Locke alleges he pushed the photographer away, got dressed and left. "I threw the towel on him, put my clothes on and walked out".
The allegations are the latest in a deluge of accusations concerning influential figures in entertainment, media, fashion and politics, sparked by revelations about longtime film producer Harvey Weinstein.
He claims the photographer masturbated in front of him.
In a statement posted on the Vogue website, Anna Wintour also addressed the accusations, while noting that the magazine's publisher, Condé Nast, is rolling out a new Code of Conduct for outside contributors, which includes that models must pre-approve shoots that involve nudity or sexually suggestive poses.