Tina’s Random Number Generator Library (TRNG) is a state of the art C++ pseudo-random number generator library for sequential and parallel Monte Carlo simulations. Its design principles are based on a proposal for an extensible random number generator facility, that will be part of the random number generator facility of the forthcoming revision of the C++ standard. The TRNG library features an object oriented design, is easy to use and has been speed optimized. Its implementation does not depend on any communication library or hardware architecture. TRNG is suited for shared memory as well as for distributed memory computers and may be used in any parallel programming environment, e.g. Message Passing Standard, OpenMP or CUDA. All generators, that are implemented by TRNG, have been subjected to thorough statistical tests in sequential and parallel setups.