Tyreq is an American given name of uncertain origin, though it's believed to have been coined recently for its unique sound and spelling. It gained popularity in the late 20th century, particularly among African-American families.
"From 1997 to 2003, the name Tyreq experienced varying popularity, with a peak of 9 births in 1999. Over this period, there were a total of 39 children named Tyreq."