Spiral search mechanism has strong global search ability and is widely used in firefly and whale search algorithms, but its convergence speed is slow, the convergence accuracy is low, and the local search ability is poor. By changing the search mode with small convergence range, a local spiral search is proposed to improve its local search ability, and a mutation operation is introduced to improve its local search ability, and a planet search algorithm is proposed. The algorithm is verified by single - peak and multi - peak test functions. The results show that the planet search algorithm is better than particle swarm optimization, firefly algorithm and whale search algorithm in convergence speed, search accuracy and local search ability.