"We wanted to validate our household... and our rights, because we had no solid legal basis establishing us as a family," said one of the men, actor Victor Hugo Prada, in a video published by Colombian media on Monday.
He said he and his two partners, sports instructor John Alejandro Rodriguez and journalist Manuel Jose Bermudez, signed legal papers with a solicitor in the city of Medellin, establishing them as a family unit with inheritance rights.
"This establishes us as a family, a polyamorous family. It is the first time in Colombia that has been done."
Lawyer and gay rights activist German Rincon Perfetti said there are many three-person unions in Colombia but this was the first one to be legally recognized.
"It is a recognition that other types of family exist," he told AFP.
A ruling by the constitutional court in April 2016 made Colombia the fourth South American country to definitively legalize same-sex marriage, after Argentina, Brazil and Uruguay.
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