The actor-musician is seen in an all-black ensemble in the video, performing in front of fans, or walking on a long stretch of road.
"Main attraction" is one of three songs to be reportedly unveiled by Renner, in association with Jeep.
"Finished up this fun music campaign with Jeep! What a blast! #music #summeroffun," he had tweeted on Wednesday.
Fans were quick to show support. "An actor, a singer... You are a great artiste," one fan wrote.
"Great song. Gritty, catchy and great vocals. Well done!" wrote another.
Another Twitter user praised the "damn good song" and lauded Renner because he "sounds great".
Renner shot to fame with his starring role in Katheryn Bigelow's Oscar-winning film "The Hurt Locker", and shot to global popularity as Hawkeye in Marvel's "Avengers" saga, and also with roles in several hits including "Mission Impossible - Ghost Protocol" and "Arrival".
During an interaction with the media, including IANS, in Seoul in April to promote "Avengers Endgame", the actor had said "I like every moment (of playing Hawkeye). I like showing up on the sets.
"I feel blessed to be able to play make-believe for a living. It's my job. I think the greatest takeaway will be my friendships over the last decade with not just the cast but guys like the first assistant director," Renner said.