This work deals with the kinetics of multifunctional polymerization with instantaneous initiation and monomer transfer. The set of very complicated kinetic differential equations is rigorously solved by a graphical method. Then, the expressions of the molecular weight distribution function, the number- and weight-average degree of polymerization, the distribution of functionality, the average functionality, etc. are obtained. Furthermore, a procedure is proposed for calculating the molecular weight distribution curve and the values of the other molecular parameters mentioned from the initial conditions of the polymerization.