UNU.RAN (Universal Non-Uniform RAndom Number generator) is a collection of algorithms for generating non-uniform pseudorandom variates as a library of C functions designed and implemented by the ARVAG (Automatic Random VAriate Generation) project group in Vienna, and released under the GNU Public License (GPL). It is especially designed for situations where: - a non-standard distribution or a truncated distribution is needed; - experiments with different types of distributions are made; - random variates for variance reduction techniques are used; or - fast generators of predictable quality are necessary. UNU.RAN provides generators that are superior in many aspects to those found in quite a number of other libraries; however, due to its more sophisticated programming interface, it might not be as easy to use. It uses an object-oriented interface in which distributions and generators are treated as independent objects, so that different methods for generating non-uniform random variates may be chosen according to various criteria, such as speed, quality, and variance reduction. It is flexible enough to permit sampling from non-standard distributions, such as distributions that arise in a model and can only be computed in complicated subroutines.