This package contains code to 1.) construct the summary statistic needed to facilitate approximate Bayesian computing for spatial extremes, and then 2.) run the ABC-Rejection method to produce a set of draws from the ABC posterior. The intention is for the user to directly modify the command >abc.rej() to suit his or her purposes. In general, ABC fitting of max-stable processes is very computationally expensive, and requires advanced programming skills with research computing.