In order to avoid the problem that the support points selected by the traditional single absolute error criterion are not interpolated accurately when the heat flux is small when the radial basis function is used for hypersonic heat flux interpolation. In this paper, a radial basis function interpolation procedure with double error criterion is proposed. In this process, the absolute error criterion is used to select a certain number of support points, and then the relative error criterion is used to select another part of points. The numerical experiments show that the double error criterion can ensure the interpolation accuracy at both large and small heat flux and can avoid the problem of negative heat flux which is easy to appear in the interpolation results caused by the traditional single absolute error criterion.