The investigation of the behaviour of unreinforced masonry structures is a fundamental step for the study of their performance under both static and dynamic loadings, with particular attention to seismic excitations. Advanced tools are required for a proper description of the complex behaviour of this material in the in-plane, as well as in the out-of-plane direction, due to the lack of reliability in the assumption that the out-of-plane mechanisms are avoided. Both local and global collapse mechanisms can, in fact, be activated especially during cyclic loads. In this framework, one of the most commonly adopted modelling approaches is the equivalent frame model, according to which each structural element is schematized with a one-dimensional beam element, with the advantage of a reduced computational burden, while keeping a good accuracy in the response description. To this end, a one-dimensional beam macroelement, already presented in the literature to describe the 2D in-plane behavior of masonry structures, has been enhanced to the 3D field. In particular, an elastic Timoshenko beam element is considered in series with nonlinear flexural hinges at its ends in the out-of-plane direction, which allow to represent the damage evolution during the progression of one-way and two-way bending mechanisms. All the hinges – in both the in-plane and out-of-plane directions – are characterized by a modified Bouc-Wen model with damage and flexibility increase, which allows the description of strength and stiffness degradation, along with hysteretic dissipation. The model is validated through comparisons with experimental test results on panels under different loading conditions available in the literature.