In this paper the Pfaff-Bilimovic method is generalized for the case when the Langrangian of the system contains time derivatives of arbitrary order and it is shown how it is possible to obtain the corresponding Lag-range and Hamilton equations. For the case of the theory of fields, the generalized Pfaff forms and equations are formulated on the basis of the calculus of functionals of V. Volterra, and in this manner the corresponding Lagrange and Hamilton equations for the fields are derived.