This study is concerned with the stability problem for a class of fractional‐order two‐dimensional (2D) non‐linear continuous‐time systems. A Caputo fractional‐order 2D non‐linear continuous‐time system represented by the Roesser model is proposed for the first time. By using the Lyapunov function method, an asymptotic stability criterion is derived. Two numerical examples are provided to show the effectiveness of the proposed results.