Numerous publications reported that the musician had married this week, citing an interview where he told The Independent: "I eloped and ran off to Texas."
A spokesperson for the singer has now revealed that Plant was not speaking literally when he made those comments.
"Robert has not married Patty Griffin. He was just referring to the fact that he's been residing in Texas," Plant's representative said in a statement to Gossip Cop.
The singer was married to Maureen Wilson from 1968 to 1983. The couple had three children together.
Plant and his Band of Joy recently headlined a special one-off gig at the HMV Forum in London.
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Watch Robert Plant perform 'Darkness, Darkness' below: