In the framework of continuum theory of nematics we have investigated how the radial (R) and hyperbolic (H) point defects interact with each other. The force of interaction is shown not to depend on the distance, but, as well as the result of coalescence of the defects, it is only controlled by their mutual orientation. Two most important cases of mutual orientations have been considered, namely when symmetry axes of the defects are in line (the elastic field with axial symmetry) and parallel. In the first case the defects attract each other and then disappear, in the second case they repel each other. The stability of cylindrical defect P-+2(c) with respect to decay into R- and H-defects has been analyzed. The results obtained have been generalized to pair interactions of defects with any other strengths.