In view of the limits of gyro's performance and with the background of application in guidance of high rotation ammunition, a scheme with 12 accelerometers was proposed. In this scheme, two kinds of angular velocity solution algorithm were obtained with the help of accelerometers' outputs which restrained errors growing with time. Finally, the deduction process of the novel method was discussed and validity of it was confirmed by simulation results. The simulation results show that the algorithm does not accumulate or transpire over time; to some extent, it also can effectively improve the precision of angular velocity solution. At the same time, the problem of symbol miscarriage of justice in the process of angular velocity solution was solved effectively.