The first part of this paper describes the significance of speech generation using a digital computer, in relation to the conventional speech analysis by synthesis method, speech recognition, especially that of active or dynamic manner, and on the future speech generating machine. Followed by are the proposals of four methods of constructing a speech generating algorithm workable in computer run; the first has to do with the evaluation of a Fahltung type integral describing human speech generating process, the second, by Fourier inversion of the speech spectrum, the third, by the solution of the differential equation describing human speech generating process, and the fourth, by generating the zero-crossing intervals by pre-defined law. The above algorithms have been investigated in view of time scale of speech generation and precision. In the latter part of the paper, the result of speech generating experiment using the Electrotechnical Laboratory's digital computer, ETL Mark 4-A, is stated, in which, five stationary Japanese vowels have been generated by the approximate evaluation of the Fahltung type integral utilizing simple weighted, sum method. This report is a part of research efforts made under the Laboratory's research project "LOGOS" on linguistic automaton.