A method for predicting underwater explosion shock‐wave pressure histories in caustic regions is described. This method involves the incorporation of various propagation effects, i.e., finite‐amplitude, absorption, and refraction effects, into a Fourier series representation of the initial shock wave from an underwater explosion. Refraction effects are accounted for by the use of a solution to the wave equation derived by Silbiger and Sachs. Pressure histories calculated using this method are compared with experimental results from ocean and flooded quarry tests. For the oceanic convergence zone case, quantitative agreement with the experimental pressure histories is demonstrated. This agreement is verified for a region 4000 ft wide surrounding the caustic. For the flooded quarry case, the peak pressure on and near the caustic is accurately predicted.