The major challenge in modeling of laminated cord-rubber composites (CRC) is to achieve desired predictive accuracy as well as maintain computational efficiency of corresponding numerical solutions. Existing modeling methods are primarily based on a) more traditional theories developed for fiber-reinforced polymer-matrix laminates and b) rebar- and shell based FEA approaches. Although mentality of these methods is widely used in rubber and tire engineering, these models often significantly simplify important issues of non-linearity and 3-D nature of interlaminar deformation. The objective of the paper, therefore, is to develop an efficient general modeling approach for typical laminated CRC capturing fundamental mechanisms of their deformation as well as providing relatively simple and cheap solutions. The approach uses advantages of previously developed methods (Gurvich) to quantify deformation of anisotropic elastomers. The present study is focused on 3D extension of the problem to account for crucially important interlaminar behavior of these composites. Several structural examples illustrate simplicity of implementation, demonstrate computational robustness, and show practical importance of obtained results. In particular, limitations of existing rebar-based models of CRC are shown and explained.