Abstract: In this paper, the problem of asymptotical stability of linear constant time-delay systems independent of delay is considered and some sufficient algebra criteria for the stability are submitted. The criteria has the same advantages as those in [4] , and can be used for the judgement of asymptotical stability of linear constant time-delay systems independent of delay through simple calculation (it is not necessary to do that by means of computer) and for stability test of a class of linear constant time-delay systems whose stabilities can not be tested by those in [4]--[6].