This work proposes a study for CFRP (Carbon Fibre reinforced polymers) symmetric and not symmetric reinforced masonry walls subject to in plane and out of plane actions in the elastic range. Masonry, CFRP reinforcement and reinforced masonry have been identified with a standard elastic continuum by means of a homogenisation method in several perturbative parameters. A numerical 3D homogenised model has been compared with this analytical model. If the size of the thickness is comparable with the dimension of the elementary periodic cell, the asymptotic model allows the identification of the 3D solid with a 2D Love - Kirchhoff’s plate, in which the anisotropy is connected with the arrangement of blocks. An extensive numerical analysis has been carried out to investigate the capacity of the homogenisation method – by comparison with other models existing in the literature [1], [2], [3], [4], [5], [6], to grasp the effect of CFRP reinforcement in the behaviour of the masonry.