The active speed modulation of the blood pumps is considered an effective strategy for reducing postoperative complications. Nutation blood pumps have attracted widespread attention due to their small size, low rotational speed, and low risk of embolism, but there is a lack of research on the feasibility of rotational speed regulation. Therefore, the purpose of this article is to research the effect of the speed regulation of the nutation blood pumps on its internal flow field and blood damage. In this article, a cardiovascular system-nutation blood pump coupling model is proposed based on the human blood circulation system. The computational fluid dynamics (CFD) method is used to simulate the internal flow of the whole flow channel under the modulation of the rotational speed of the nutation blood pump. The coupling model was numerically simulated under speed regulation, and the obtained left ventricular and aortic pressures were set as the inlet and outlet boundary conditions for the CFD simulation of the blood pump. The blood pump flow field and blood damage are analyzed under four rotational speed conditions (the uniform speed, the sine wave, the square wave, and the triangular wave). The results show that the flow pulsation of the blood pump under speed regulation is enhanced, which is a feasible solution to restore the blood flow fluctuation. Among them, the flow pulsation index of the blood pump under the sinusoidal speed regulation is the highest, which is 1.91 times that of the uniform speed state. At the same time, the degree of blood damage in the blood pump is relatively low, which is an ideal speed regulation waveform.