The company's management team says the internet means that pornographic magazines are no longer commercially viable. Playboy's circulation has fallen dramatically from its peak in the mid-1970s.
We have been asking what you think of this change; on Twitter, on Facebook and on our story. Many of you think it is a most welcome move and might even help encourage a more respectful portrayal of women in the media.
Others think it is simply a smart marketing choice.
Some, rather wistfully, see it as the "end of an era".
Other people say that without the nudity, it is the beginning of the end of Playboy.
However, many others are pointing out that if you want to see naked people, you can just go online.
As Playboy's chief executive Scott Flanders put it: "You're now one click away from every sex act imaginable for free."
Quite.
Maybe there is a bigger problem. Is the magazine itself outdated as a form of media?
Playboy's circulation has dropped from 5.6 million in the 1970s to the current 800,000.
Finally, some people are simply very happy that a certain well-known trope will now be true.

Michael Lane denies killing Shana Grice, 19, who had her throat slit and her bedroom torched.
A friend of Mr Lane, lay preacher Andrew Birks, told Lewes Crown Court he saw him shortly before she was found.
He told the jury he had waved to Mr Lane, who did not wave back and had appeared to quicken his pace.
He said: "It felt strange, as if I had been ignored."
Later, Mr Lane sent him a friendly text saying "hi, how are you?".
A friend of Miss Grice, Joanne Pumfrey, also gave evidence, saying the victim had felt pressurised by Mr Lane and recounted a occasion when he had puller her hair in a pub.
The prosecution asserts Mr Lane, of Thornhill Rise, Portslade, East Sussex, was "obsessed" with Miss Grice and refused to accept their break-up, or her new relationship with Ashley Cooke.
It is alleged, after months of stalking her, he slit the teenager's throat before setting fire to her bedroom in Chrisdory Road, Portslade, in August.
A neighbour of Miss Grice, Sarah Thompson, told the court earlier that about three weeks before her death she saw and heard arguments at Miss Grice's home.
The trial continues on Monday.

Raban Alou, 18, is charged with aiding and abetting the killing of police accountant Curtis Cheng, 58, on 2 October.
Talal Alameddine, 22, is accused of supplying the weapon used by Mr Cheng's killer, 15-year-old Farhad Jabar.
Neither appeared in court and no applications for bail were made.
Mr Alou's lawyer, Moustafa Kheir, told reporters outside the court that his client would be fighting the charges.
He said his client had been held for more than 200 hours "for the purpose of interrogation" and that the charges against him relied on circumstantial evidence.
Police have alleged that Mr Alou handed the gun to Jabar. They also allege Mr Alameddine supplied the gun to Mr Alou hours before the murder.
The case has been adjourned until 10 December.
Mr Cheng was killed outside police headquarters in the Parramatta area of Sydney and Jabar was then shot dead by police. Officials described it as a terror attack.
More than 200 officers later raided properties in the area.
Jabar, an Australian born in Iran and of Iraqi-Kurdish heritage, is reported to have shouted religious slogans as he killed Mr Cheng.
In the wake of the killing, Australian Prime Minister Malcolm Turnbull called a meeting with security chiefs.
He warned that radicalisation was spreading among the young.
"We are dealing with an evolving threat," he said.
"The shocking murder of Curtis Cheng, the shocking act of terrorism perpetrated by a 15-year-old boy reminds us yet again that radicalisation, extremism can be seen in the very young."
Australia's police chief had earlier warned that the terror threat facing the country was getting worse.
Playboy magazine has announced it is to stop publishing pictures of fully naked women.
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A man accused of murdering his ex-girlfriend was seen acting "strangely" the morning her body was discovered, a court has heard.
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Two men charged in connection with the terrorism-linked shooting of an Australian police worker have been remanded in custody by a Sydney court.