As an extension of the contents of our previous papers (1) (2), (3), the collapse loads of particular space frames and semi space frames are dealt with the mechanism method and also the linear-programming method. In the first place, follwing the introduction, general remarks as to the relation of the redundancy of the frames and numher of assumed plastic hinges with some kinds of basic equations to calculate the collapse loads i. e., the equilibrium equations, the compatibility equations and so on are given. According to these remarks, the equations are induced in the case of the treated structures. Finally, the result of calculation and the results of experiments which were carried out on six specimens are given. Comparing the results of calculations with experimental ones the following were ohtained conclusively. (1) The difference between the collapse loads by the linear-programming method and ones by the mechanism method is usually slight, excluding the ranges of upper bound. (2) Experimental collapse loads coincided well. eccept particular cases, with the theoretical resuets. (3) If a large digital computer can be used, the linear-programming method is superior to the mechanism method in calculation of the collapse loads of high redundant structures.