Britain's best-selling tabloid has been publishing topless models on its third page for the past 44 years.
But after campaigns and criticism from several groups including churches the newspaper appears to have decided to stop.
The Sun has refused to confirm the report in today's Times, which says "Friday's edition of the paper was the last that will carry an image of a glamour model with bare breasts on that page".
Steve Clifford, General Director of the Evangelical Alliance, says that if the report is correct then he 'lauds' the newspaper.
"The reality is that Page 3 is the thin edge of a very big wedge - the multibillion pound porn industry and after a whole generation it is finally coming to an end," he said.
"The discontinuation of page 3 represents a victory for all women, and for all of us who have long campaigned for a more decent and respectful press in the UK.
"But ending the print version is not just enough, Rupert Murdoch needs to go the next step and remove it from the online version as well. These actions would help to move us towards a more responsible media and a more civil society."
Chine Mbubaegbu, a director of the Alliance, says this decision is one step in a bigger "war".
"As evangelical Christians, we believe in the inherent dignity of all human beings. Since we believe that all are made in the image of God, we long for a society in which women are not objectified," she said.
Adding: "We welcome The Sun's decision following mounting pressure from the No More Page 3 campaign.
"It is a battle victory, but there is a war yet to be won for the dignified portrayal of all women - no matter their age, size or colour - across the media, fashion, beauty and advertising industries".