HHS Secretary Alex Azar wouldn’t commit to implementing any of the nearly dozen alternative payment models for doctors recommended by a federal advisory panel but said the agency would use some of their elements as it designs its own models.

Azar’s office June 13 released his responses to the first group of recommendations made by the Physician-Focused Payment Model Technical Advisory Committee (PTAC). The panel is responsible for vetting payment systems submitted by the public, particularly medical groups, that seek...