Based on the second method of Lyapunov, a globally stable discrete model reference adaptive controller design method with unknown deterministic disturbances is derived. The basic idea is to parameterize the disturbances by a ramp function using two parameters. It includes the SISO and MIMO cases. A state variable filter (SVF) is added to ensure that the proposed method is applicable to a plant with moderate measurement noise. The performance of these designs is illustrated by simulation.