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A macro-element model, developed for the analysis of the cyclic in-plane lateral behaviour of masonry walls, has been modified to include second order effects, significant in case of large lateral displacements. The modified macro-element can be used to study a variety of local phenomena typical of masonry structures, ranging from those associated with the out-of-plane response of masonry walls to the in-plane response of arch systems and the static stability of walls with eccentric vertical load. Taking advantage of an internal rotational degree of freedom, second order effects are considered by additional moments in the nonlinear correction phase. The modified macro-element model is then suitable for studying the rocking response of walls and other masonry sub-systems. The model can be used to represent a macro-block in a kinematic chain of non-rigid bodies or, when used to simulate the wall out-of-plane behaviour, it can be adopted in a more refined mesh.