In 1985, Moore won the A.M.A. 125cc Western Supercross title.[3] He moved on to the F.I.M. world championships, finishing second to Donny Schmit in the 1990 125cc championship and second to Stefan Everts in the 1991 125cc championship.[3] In 1992, he again finished second to Schmit, this time in the 250cc world championship.[3] He moved back to the 125cc class, and in 1994, he won the world championship on a Yamaha.[4][5]