In this study, we make the first contribution to investigate under which conditions normal almost paracontact metric manifold of dimension 3 has cyclic parallel Ricci tensor, η-parallel Ricci tensor, Ricci-semisymmetry and locally ϕ-symmetry. Finally, an example of a 3-dimensional normal almost paracontact metric manifold which is locally ϕ-symmetric and has cyclic parallel Ricci tensor is presented
