Evidence of meat trade in the form of table cuts suggests that consumer preferences and tastes vary across meat cuts. Unlike previous studies, this paper estimates demand elasticities at the table cut level from a Mexican survey of household incomes and expenditures, which is a stratified sample. The study uses the two-step estimation of a censored demand system proposed by Shonkwiler and Yen (1999) but incorporates stratification variables into the estimation procedure. Parameter estimates are reported and its standard errors are approximated by using the bootstrap procedure.