The contact number is an important mathematical tool of systems theory and methods in the monograph Set Pair Analysis and Its Preliminary Applications written by Zhao Keqin for unitizedly processing the uncertainties due to the fuzzy, stochastic, intermediate and information uncomplete about something. The article applies the multivector algebra which is isomorphism with the real Dirac algebra in the real space-time adopted by Venzo de Sabbata to the contact number of set pair analysis, and consequently, the contact number is generalized correspondingly.