Abstract: The invention relates to computer engineering and can be used for developing new-architecture multiprocessor multithreaded computers. The aim of the invention is to produce a novel method for organizing a computer, devoid of the disadvantageous feature of existing multithreaded computers, i.e., overhead costs due to the reload of thread descriptors. The inventive method encompasses using a distributed presentation which does not require loading the thread descriptors in the computer multi-level virtual memory, whereby providing, together with current synchronizing hardware, the uniform representation of all independent activities in the form of threads, the multi-program control of which is associated with a priority pull-down with an accuracy of individual instructions and is totally carried out by means of hardware.