Gay celebrities Tom Daley and actors John Barrowman and Charlie Condou have signed a letter urging Scotland to reject independence.
Their names were among a list of more than 200 public figures to be published in a letter by Let’s Stay Together, a UK-wide campaign against an independent Scotland.
Daley and Barrowman both featured in the recent Commonwealth Games in Glasgow.
Alastair Smith said a “Yes” vote on 18 September would give Scotland a chance to enshrine LGBT rights in a written constitution.
LGBT Together, part of the pro-Union Better Together campaign, said the Union had already helped ensure Scotland was one of the most progressive countries in Europe when it came to LGBT rights.
LGBT Together activist Darren Young said: “The UK’s LGBT rights record is something that people right across these isles can be proud of.
“The UK has now been voted the best place to be LGBT in Europe three years running.”
He added: “Where is the sense in breaking up something that works well?”
Last month Daley, who won bronze at London 2012, dismissed claims that he would turn his back on diving after the Commonwealth Games because of a fear of failing at the 2016 Olympic Games in Rio de Janeiro.