The invention relates to a fast arithmetic multi-bit serial pulse dual-base binary finite field multiplier, comprising an input end B, k PE modules, an FRRP module and an R3 module. The k PE modules are connected in series, the k PE modules pass through k cycles, in the first cycle, the input of A is that B is directly input, and the calculation result is restored and input into a temporary register C through the FRRP module; in the second cycle, the input of A is that B is input through the R3 module, the calculation result is also restored through the FRRP module, and is added to the calculation result of the first cycle and stored in the temporary register C; so, in the k cycle, the input of A is that B is input after passing through the R3 module for (k-1) times, the calculation result is restored through the FRRP module, added to the accumulation result of the previous (k-1) times and stored in the temporary register C, and the temporary register C outputs the result.