In this paper, we study the social efficiency of private carbon markets that include trading in agricultural soil carbon sequestration when there are significant co-benefits (positive environmental externalities) associated with the practices that sequester carbon. Likewise, we investigate the efficiency of government run conservation programs that are designed to promote a broad array of environmental attributes (both carbon sequestration and its co-benefits) for the supply of carbon. Finally, policy design and efficiency issues associated with the potential interplay between a private carbon market and a government conservation program are studied. Empirical analyses for an area that represents a significant potential source of carbon sequestration and its associated co-benefits illustrate the magnitude and complexity of these issues in real world policy design.