The Herglotz-type Noether theorem and its inverse theorem for nonconservative nonholonomic systems are studied. Firstly, the Herglotz variational principle is extended to non-conservative nonholonomic systems, and the differential equation of motion with multipliers is derived based on this principle. Secondly, the infinitesimal transformation is introduced to study the invariance of Lagrange-Herglotz action, and the Noether theorem for non-conservative nonholonomic systems is proposed and proved. Thirdly, the inverse problem of symmetry is studied and Noether’s inverse theorem is given. Finally, taking Appell-Hamel problem subject to non-conservative forces as an example, we introduce the application of Herglotz type Noether theorem.