We investigate the effects of time delay, which is proportional to the distance between interacting elements, in a two-dimensional lattice of coupled phase oscillators. Through the numerical simulations, we find that the time delay induces regular patterns such as traveling rolls, square-like or rhombus-like patterns, spirals, and targets, while without delay only synchronized flat appears. Our result implies that delay should play an important role in the information processing based on the spatiotemporal structure of neuronal activities.