Meshless Weighted Least-Square Method(MWLS),which is only based on nodes' information.In MWLS the variation principle of system is constructed with weighted least-square residual method,and the approximation function is built by moving least-square method.The boundary conditions are enforced with a penalty function.Appling MWLS to solve transient heat conduction problems,the numerical results show that MWLS has several advantages such as high accuracy and easy for pre-process and post-process.