The 18-year-old's song was produced by artist J Cole and song 'Green Auras' covers his feelings about his Oscar-winning father, reported Us magazine.
"Call me Gabe Day and not Gabe Day-Lewis. Cause if you're trying to call me out, I'm going to Gabe Day-Lose It! I know what my name is and I know what fame is.
Judging someone for their dad is just as bad as being racist," sings Gabe, who was raised by Adjani. Day-Lewis left Adjani in 1995 before Gabe was born.
He then moved on to Deya Pichardo only to marry Arthur Miller's daughter, director Rebecca Miller while he was shooting a film adaptation of Miller's play 'The Crucible'.
He has two sons with Rebecca. Gabe addressed his Adjani's loss in the song, saying, "I feel the most grief for my mother who has no one left in her life but me and my older brother." In the video, Day appears to be smoking weed, and even explains how he has come to terms with being bipolar.
"I find out that I'm bipolar, now I wear it like a badge. I was on a bad path. I did too many drugs. Felt like coping on my own when all I needed was a hug. I had a bad trip, reevaluated my life. Thank god I survived cause now it's easier to smile."