Household at-home consumption of different types and cuts of meat and fish products is investigated by estimating a large censored demand system with a two-step procedure using ACNielsen's Homescan data. We find different price and expenditure elasticities between low-income and high-income households. High income households are less responsive to price changes, and the substitution patterns also differ between the low- and high-income households. Whereas the uncompensated elasticities suggest a mixture of gross substitutes and complements among the products for both low- and high-income households, the compensated elasticities suggest net substitution is the obvious pattern for the low-income households.