This paper studies how to generate high-quality node sets and use the nodes to generate the mesh in the three-dimensional region. According to the geometric description of the boundary region and the desired node-spacing function, the node placement method by bubble simulation is used on the surface and inside the area to layout the nodes successively. After the placement of the nodes distribution is finished, the bubble-type local mesh generate method and the Delaunay mesh method can be used to generate the mesh on the area surface and inside the area, respectively. Then quality of the bubble distribution is measured according to the quality of the Delaunay mesh. Numerical examples show that uniform node sets and non-uniform node sets generated by this method have high quality, and non-uniformly node sets obtained by this method have good gradualness.