Abstract: Baesd on the property of the l-value support tables of the resilient rotation symmetric functions (RSF) with q number of variables, an equivalent characterization on the resilient RSF with q number of variables is derived. It is proved that construction of the resilient RSF with q number of variables are equivalent to solve an equation system. At last, the count of resilient RSF with q number of variables are represented by using all the solutions of the equation system.