A two-dimensional model that takes into account the 1-D behaviour of the cord, is presented for the analysis of cord-composite plates. The cords are represented by an equivalent geometrical surface having the mechanical characteristics including bending property and the coupling between twist-extension. The non-symmetrical position of the cord within the cord-composite plate is also considered. Examples of cord-composite plates consisting of one central layer, two symmetrical layers, and two non-symmetrical layers are studied, and the results are presented to illustrate the coupling effects on the mechanical behaviour.