To study the multi-soliton solutions of the fractional order soliton equation under the definition of conformable fractional derivatives. By using the fractional order complex transformation method, the fractional order soliton equation is transformed into an integer order soliton equation, and then solved by the traditional bilinear method to obtain the multi-soliton solution of the fractional order soliton equation. The 1-soliton solution, the explicit expression of the 2-soliton solution, and the recursive formula of the arbitrary n-soliton solution of the fractional KP equation are obtained, the integer-order soliton and the corresponding fractional-order soliton are compared, and the interaction of the two solitons in the propagation process of 2-soliton is discussed. Through comparison, it is found that there are some differences in dynamic behavior between the soliton solution of the fractional KP equation defined by the conformable fractional derivative and the soliton solution of the KP equation defined by the integer order derivative.