The invention discloses an implementation method for a rapid scalar multiplication algorithm in an elliptic curve cryptosystem. The method at least comprises a scalar multiplication algorithm procedure of binary coding with the minimum Hamming weight and provided with symbols from left to right, and the method comprises the following steps of: arranging definitions on a finite prime number field, being arbitrary point, and being arbitrary integer; inputting'':''; outputting'':''; A. commanding '', ,''; B. decreasing progressively until, implementing: a. commanding; b. '', ,''; c. if, commanding; C. returning. The implementation method for the rapid scalar multiplication algorithm in the elliptic curve cryptosystem provided by the invention, the binary coding with the minimum Hamming weight and provided with the symbols from left to right is applied to the rapid scalar multiplication algorithm in the elliptic curve cryptosystem, a novel binary coding scalar multiplication algorithm with the symbols is created, which can be faster achieved. The novel binary coding scalar multiplication algorithm has the advantages that: arithmetic speed is high, additional memory plint space and coordinate change are not needed during calculation, calculation period is reduced, and the like.