The concept of absolute tracking (Grujić and Porter 1980) is extended so as to embrace digital Lur'e control systems subjected to multiple unmeasurable disturbances and multiple unmeasurable command inputs. It is shown that the discrete-time tracking characteristics of closed-loop digital control systems incorporating Lur'e plants with multiple non-linearities can be established on the basis of the discrete-time absolute stability characteristics of associated free systems. These general results are illustrated by synthesizing a discrete-time tracking system incorporating a Lur'e plant with two non-linearities.