Wind tunnel experiments are reported for a spherical shock wave propagating through turbulent wakes of a single cylinder, double cylinders, grid-turbulence, and a laminar flow, whose influences on the shock wave are compared. Overpressure behind the shock wave is measured on a plate while streamwise velocity is measured at the flow point between the measurement plate and the location of the shock wave ejection. Average of peak-overpressure observed upon arrival of the shock wave is decreased by the mean velocity defect of the cylinder wake. Root mean squared (rms) peak-overpressure fluctuation divided by the averaged peak-overpressure is increased by turbulence, and it becomes larger with the rms velocity fluctuation. Correlation coefficients are calculated between fluctuations of peak-overpressure and low-pass filtered fluid velocity. The strong positive correlation is found for the fluid at the location where the shock ray toward the pressure measurement point passes. The length scale of velocity fluctuation with the strong correlation is related to the integral length scale of turbulence. In the double-cylinder wake experiments, the shock wave that has passed one cylinder wake interacts again with another cylinder wake before it reaches the measurement plate. The correlation coefficient for the velocity fluctuation of the first wake is weakened by the second wake, and this influence becomes more important when the rms velocity fluctuation of the second wake is larger.