In our earlier paper, we proposed an adaptive nonlinear SOR (ANSOR) algorithm for power flow analysis. A parallel version of ANSOR scheme was investigated on distributed memory (DM) machines. The algorithm was proven suitable for parallel environments due to its high speedups, reasonable number of iterations, and reliability to converge for heavily loaded large power systems. In this paper, we employ the ANSOR algorithm as a tool in the continuation power flow (CPFLOW) to study the voltage stability behavior when the load and generation vary. The main advantages of using the ANSOR scheme as an alternative over the Newton-Raphson (N-R) scheme are its computational speed via parallel implementation, and its reliability to generate the solution curve via the predictor-corrector schemes, as well as its simplicity to run the ANSOR program without any modification. The predictor, corrector, step size control, and parameterization schemes of the CPFLOW are described. The CPFLOW program is tested on the IEEE 14 and the Texas 2429 bus systems. Its parallel implementation of the Texas 2429 bus system is demonstrated on the nCUBE2 machine. Finally, we show that a CPFLOW using the parallel ANSOR scheme is competitive to the one using the N-R scheme.