In this paper, we study the existence of periodic peaked solitons to a generalized μ-Camassa-Holm-Novikov equation with nonlocal cubic and quadratic nonlinearities. The equation is a μ-version of a linear combination of the Camassa-Holm, modified Camassa-Holm, and Novikov equations. It is shown that the proposed equation admits a sigle peakons. It is natural extension of the previous results obtained in for the μ-Camassa-Holm, modified μ-Camassa-Holm, and μ-Novikov equations, respectively.