To quantify the effects of a policy of imports on the market of sorghum in Mexico, a model of spatial and intertemporal nonlinear programming was validated in 2013. Under optimization, production, imports and consumption were 6.2, 2.3 and 8.4 million tons the net social value of 52,377.4 million, 2.3 times the level observed in that year. Reduce imports at 1.5 million tons, domestic producers benefit and harm consumers; imports increased at the same volume, it would have benefited consumers and hurt producers. Such results should be considered for an efficient distribution of the grain.