This paper is the continuation of a paper of the first author on strong homotopy inner product of an A-infinity algebra. Let us recall that the notions of A-infinity-algebras and A-infinity-categories are very usefull in homological mirror symmetry (in Kontsevich’s work for instance). In this work, the authors generalize the concept of potential for cyclic A-infinity algebras to homotopy cyclic A-infinity algebras. After some recalls, they study the properties of such a potential. They prove in particular that the potential is invariant under gauge equivalence for Maurer-Cartan elements. The links with the holonomy map of Abbaspour, Tradler and Zeinalian are also discussed.