  In this note, we construct a Wess-Zumino-Witten model based on the Galilean
conformal algebra in 2-spacetime dimensions, which is a nonrelativistic
analogue of the relativistic conformal algebra. We obtain exact background
corresponding to \sigma-models in six dimensions (the dimension of the group
manifold) and a central charge c=6. We carry out a Sugawara type construction
to verify the conformal invariance of the model. Further, we discuss the
feasibility of the background obtained as a physical spacetime metric.
