In order to generate weak shock waves with repeatability of better than 99%, a shock tube was constructed which, instead of rupturing conventional diaphragms, utilizes 0.5 mm to 1.0 mm thick rubber membrane to separate the driver and driven gases. Sudden leakage of the high-pressure gas which bulged the rubber membrane subsequently drove a weak shock wave into the low-pressure channel within a relatively short formation length. The rubber membrane was operated within its elastic limit and moved very quickly, giving good repeatability. With identical initial conditions for a series of experiments, the scatter of shock Mach number was found to be at most ±0.25% for shock Mach number ranging from Ms=1.02 to 1.55 throughout more than 100 runs.