Abstract—A quantum computation problem of quantum search is discussed in this paper. Grover's search algorithm, the most commonly used quantum search algorithm, is introduced in details. The flow of quantum search algorithm and the quantum circuit model are shown. And the error of the search value, as well as the probability of measurement, is analyzed. For further research we simulated the Grover's search algorithm in classical computer. By quantum simulator the probability distribution of the measuring result of search value is presented and the computational efficiency is discussed. The simulation result demonstrates the effectiveness of the proposed algorithm.