The article describes post-Luria period of Russian neuro-psychology. The differences of Luria's neuro-psychology as compared to Western neuro-psychological schools are presented. Scientific, methodic, applied and educative work of A. R. Luria's school is shown and the main successes in clinical, experimental and rehabilitative neuro-psychology as well as new trends (child, senile neuropsychology, individual differences and border-line neuro-psychology, etc. ) are enumerated.