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Based on the weighted-point filling strategy, a novel gridless adaptive method is developed to capture shock waves with high resolutions in unsteady flows. The adaptive indicator E is the function of the local specified parameter gradients and the weight of points. The refining and coarsening regions are identified by the indicator, and then form refining cavities and coarse-ning cavities which are filled with new points. Using the predictor-corrector iterative algorithm, the weight of the new point is obtained by the adaptive indicator E and the local gradient. To pre-vent the violent change of the point weights with the parameter gradients, the maximum and the minimum are stipulated respectively in the filling process. The proposed adaptive method is first-ly used to fill points into the flow field which is set with designated pressure gradient in advance. By comparison with the traditional adaptive result, the sparse and dense distributions of clouds of points are more satisfactory and more reasonable. Further studies are the calculations of Riemann flow and incident shock past a cylinder. The results show that the adaptive method can capture the moving shock waves successfully in the unsteady flow fields with scanty points. For achieving equivalent pressure contours of the flow of the incident shock past a cylinder, the time spent using the presented adaptive method is 20. 6% of the conventional unadaptive method, which suggests that it has a definite advantage on the computational efficiency. [ABSTRACT FROM AUTHOR]