Recently, Hong-Jun Kim et al. introduced an improved process incapability index C*psk by the transformation of the Cpsk C*psk. A simple transformation ofC*psk , can be regard as a process incapability index, provides an uncontaminated separation between information concerning the process accuracy and precision while this kind of information separation is not available with the C*psk. By an identical conception, in this article a new process incapability index C*psk for Non-Normal process can be proposed by the transformation of the process capability index C*psk. The motivation behind introduction of C*psk is that process capability index cannot give information of the process accuracy and precision. A significant result of this research that C*psk for the case where the target value T is equal to the midpoint of the specification limits or not Is evaluated without respect to T. Accordingly, C*(psk) will be propose a reasonable process incapability measure for Non-Normal process