Underwater acoustic grid network is promising for providing high data rate and wide coverage service. For the scheduled time division multiple access (TDMA) protocols in the underwater acoustic grid networks, scheduling is an essential part to achieve reliable and energy efficient performance. Scheduling not only completely guarantees the interference free transmission in the network, but also makes the network become energy conservation. Existing scheduling schemes based on the physical interference model and the protocol interference model could not satisfy the requirements of low complexity and interference free at the same time. Moreover, in these scheduling schemes the transmission from the source node to the destination node could only take a single path, which makes the network unreliable in the underwater environment. This paper formulates a multi-objective integer linear programming based on a special designed transmission power model for the TDMA scheduling in the gird network. Moreover, we improve the spatial diversity of the network through a unique frame structure. Simulation results demonstrate that the proposing scheduling scheme has a better performance than the traditional one.