The clash took place on Tuesday in the area of Tachira's municipality of Urenya. Venezuelan security forces seized seven firearms, a grenade, three cars and three motorcycles from the militants.
"Seven Colombian paramilitaries, including five men and two women were killed in the clash," Freddy Bernal wrote on Twitter.
The 1,370-mile border between Venezuela and Colombia is the footprint of smugglers and drug mafias that bypass the official checkpoints. Venezuelan President Nicholas Maduro has repeatedly blamed Colombian mafia groups for undermining his country's economy.
The border was closed for a year from August 2015 by Maduro's decree after smugglers' attack on the military. In August 2016, the two countries agreed to gradually reopen the border.
