According to the fixed-time hard rendezvous with chase spacecraft in high eccentric orbit, a new algorithm was introduced to solve multiple-revolution Lambert problem, which can find the optimal transfer orbit quickly. The solutions of multiple-revolution Lambert transfer problem were researched, and the relationship between transfer time and transfer orbit elements was figured out while the optimal rendezvous problem without time constraint was also studied. The calculation results for fixed-time rendezvous validate the correctness and high-level efficiency of the algorithm.