We show the modeling of the theoretical stream of the Halley type comet 12P/Pons-Brooks in a single perihelion passage that was 250P0 orbital periods in the past (the orbital period is 70.85 years). The modeled stream consisted of 10,000 particles. We followed its dynamical evolution by the numerical integration from the moment of their ejection up to present. From the total number of 10,000 particles, 1227 particles are passing around the Earth's orbit within the distance 0.05 AU. These particles have a well-defined radiant (Fig. 2) predicted on the northern sky, with a high declination (from about 61° to 81°). The subsequent identification with available meteor databases can confirm whether the meteor shower is real or not. For this purpose we used three databases: the photographical, radio-meteor, and video-meteor database. Despite the well-defined radiant, which it consists of 1227 particles, we cannot certainly confirm, that comet 12P/Pons-Brooks is a parent body of some meteor shower observable on the Earth.