Few studies have been carried out aimed at simultaneous estimation of genetic parameters among linear type and production traits in dairy cattle in Brazil. These include McManus and Saueressig (1998), Freitas et al. (2002) and Esteves et al. (2004) with Holstein as well as Rennó et al. (2003) and Lagrotta et al. (2010) with Brown Swiss and Dairy Gyr, respectively.