Lawyers for West and co-defendant Sony/ATV Music Publishing LLC, a joint venture between Sony Corp and the estate of pop star Michael Jackson, did not immediately respond on Monday to requests for comment.
Read more:
Singer's rant against Music Awards
'All I really want is a cheeseburger'
Presser said he had no inkling his song was being used until West's lawyer emailed him soon after marketing began, indicating that West "would like to work out a deal with you as soon as possible" and giving him 24 hours to respond.
West's lawyers later sent Presser a $10,000 (NZ $14, 800) cheque and insisted that he grant a license.
But Presser never cashed the check, the complaint said.
"Kanye West knowingly and intentionally misappropriated plaintiff's composition," the complaint said. "After his theft was discovered, defendants refused to deal fairly with plaintiff."
It is common for well-known singers to be accused of stealing song ideas from the original composers.
For example, in another prominent case, Led Zeppelin lead singer Robert Plant and guitarist Jimmy Page face a June 14 trial in Los Angeles over whether they stole opening chords for their 1971 classic Stairway to Heaven from a 1967 instrumental.