The video shows a pair of outlaws navigate their romance in a dusty, desolate setting, with the visuals cutting frequently to Gallagher performing with his band.
Johnny Marr is also seen playing guitar and harmonica in the video as a guest musician.
The video serves as a trailer for an upcoming seven-part film called Stranded on the Earth, which will feature a video for each track on the album.
Mike Bruce, who directed ‘If Love Is The Law’, said that Stranded on the Earth will “comprise a chronological story line about two outlaws who meet and fall in love.”
He continued, “The concept came from a series of discussions I had with Noel over the course of a couple months leading up to the release of ‘Who Built The Moon?’
“When Noel sent me his new album I knew I wanted to do something out of the ordinary, something we’re not used to seeing in a music video format.”
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The 12” vinyl release of the single (out September 14) features the album version of the single and an instrumental rendition, as well as a B side called ‘Alone On The Rope’. It’s released digitally on August 17.
Gallagher is about to play a number of festival dates this summer. He performs at Edinburgh Castle tonight (July 19) and closes the tour at Bingley Music Live in Yorkshire on September 2.