A theoretical investigation of the origin of the spontaneous firing in the squid axon was done with a mathmatical computer modelling based on the Hodgkin-Huxley equation. It is strongly believed that the existence of calcium ions in the membrane is essential to cause firing. The results of the computer simulation of the modelling indicate that the sites of calcium ions in the membrane might be near the potassium channel and the leakage channel plays an important role in the firing. The orientation of the future research project was suggested. And also, a theoretical investigation of the origin of the firing in the propagating action potential was done in the same way.