This paper gives a proposal about a new parallel computer of a MIMD array type, being suitable especially for high speed computing in engineering and science. It has a master unit, N submaster units and N² slave units, having their own processors and private memories respectively. Also, there are common memories between every submaster and every corresponding slave and further buffer memories used for transferring data between any allowed pair of slaves. In comparison with the ADINA Computer I [1] proposed previously, the new computer (ADINA Computer II) is useful for not only one and two dimensional problems, but also for three dimensional problems. Furthermore, it more easily allows an increase of the number of processors. Theoretical estimates for some examples of computation show that the ADINA Computer II is also very efficient
