<p>Herglotz’s principle is suitable for dealing with nonconservative phenomena. It is an extension of Hamilton’s principle. The generalized Chaplygin canonical equations are derived from Herglotz principle for nonconservative systems with nonholonomic constraints. The variational equation of Hamilton–Herglotz action for generalized Chaplygin systems is derived by using the Chetaev condition of constraints on virtual displacements. From this, two formulas of non-isochronous variation of the action are deduced. The definitions of Herglotz-type Noether symmetric transformation and quasi-symmetric transformation in phase space are given, and the criterion (i.e., generalized Noether identity) is derived by using total variational formula, and the Herglotz-type Noether-conserved quantities are given. Finally, a nonconservative nonholonomic system is investigated, the Herglotz-type generalized Chaplygin equation and generalized Noether identity are set up, and conservation laws are found by using the theorems we obtained, and the validity of the results is verified.</p>