In order to improve the speed of phase demodulation in three-dimensional (3D) shape measurement system, according to different theories of parallelism, two different approaches of parallel one-dimensional (1D) continuous wavelet transform fringe pattern demodulation have been proposed. Computer simulation and experiment in multicore CPU computing platform show that, compared to serial phase demodulation, parallel fringe pattern phase demodulation technique keeps the computing precision while the processing speed is significantly improved: the experiment on processing 850 pixel×1000 pixel fringe pattern achieves 7.5 times speedup. Our solutions lay the foundation for the applying of fringe pattern demodulation technique by means of wavelet transform to real-time/ transient 3D shape measurement.