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In this paper, a cross-layer algorithm that aims at minimizing the end-to-end transmission energy subject to a packet delay deadline constraint is proposed. The optimal transmission energy and rates, and the optimal route are computed to minimize the end-to-end total transmission energy in a delay constraint wireless mesh network. A cross-layer optimization framework is proposed under a constraint that all successfully received packets must have their end-to-end delay smaller than their corresponding delay deadline. In addition to the optimal solution, a suboptimum solution is also proposed. This solution has close-to-optimal performance with lower complexity. The simulation results show that, for the same delay constraint and bit error rate (BER), the optimum proposed algorithm has less energy consumption than routing algorithms that consider delay constraint only.