In this paper, we investigate Jordan σ-derivations and Lie σ-derivations on path algebras. This work is motivated by the one of Benkovič done on triangular algebras and the study of Jordan derivations and Lie derivations on path algebras done by Li and Wei. Namely, main results state that every Jordan σ-derivation is a σ-derivation and every Lie σ-derivation is of a standard form on a path algebra when the associated quiver is acyclic and finite.