To internalize climate-related external costs from agricultural production and food consumption Pigou taxes and carbon credits increase private costs for food. Voluntary consumer choices for carbon-neutral food can be advantageous over such policy measures since they avoid higher food prices for the poor. We empirically analyze consumers’ willingness-to-pay for hypothetical carbon-reduced as well as carbon-neutral milk and apple juice. Data are collected in Discrete Choice Experiments in a German supermarket. Estimates reveal a substantial price premium for the carbon-neutral products which is probably sufficient to cover the products’ extra costs, including the purchase of carbon credits. The premiums are around 0.20 € per liter milk and 0.30 € per liter apple juice. Although the external validity of stated-preference methods is limited the willingness-to-pay measures for organic milk and juice as well as for different real-world labels in our experiment are similar to real-world price premiums.