Galerkin-type meshfree methods have the advantages of high accuracy and good stability, but the process of achieving high-order accurate integration is complicated, which results in the low efficiency of such methods. The collocation-type meshfree methods have high computational efficiency, but they often suffer the poor accuracy and stability when solving the complex problems. Therefore, this paper introduces a new meshfree method-meshfree stabilized collocation method. In this method, the reproducing kernel function is utilized as the approximation function. Regular subdomains are established to achieve the high-order accurate integration. This method not only possesses the high efficiency as the direct collocation method, but also has the high accuracy and good stability as the Galerkin-type meshfree methods. Besides, it is also characterized by satisfying the conservation of local discrete equations as the finite volume method. Several fluid and fluid-structure interaction problems are presented to verify the superiority of the proposed method.