In this study, vibration of thin beams are analyzed by using point interpolation (PIM) and Radial Point Interpolation (RPIM) methods with standard Gaussian integration and a nodal integration based on the Taylor series expansion. The effects of integration schemes, support domain sizes and RPIM shape parameters on the vibration modes are investigated. A cantilever beam problem is solved by linear elastic materials with uniform cross-section. The results are compared with finite element and available analytical solutions.