In 1978, he was invited to join the new avant-garde electronic band The Human League which consisted of Oakey, Martyn Ware and Ian Craig Marsh.
Then a non-musician, Wright was appointed as 'Director of Visuals' whose job was to provide lighting and slideshows to accompany the Human League's live concerts.
When the Human League split in October 1980, Wright sided with Oakey, while Ware and Marsh left to form Heaven 17 - as such, he became a musician in his own necessity, and he quickly learned keyboards.
He and Oakey co-wrote some of the new Human League's songs including the number one hit "Don't You Want Me", plus tracks such as "Darkness", "I Am the Law" and "The Things That Dreams Are Made Of" for the album Dare.
He left the band in 1986 after becoming disillusioned with the musical direction Oakey was taking and feeling marginalized by their new producers during the recording of the album Crash in Minneapolis.