The aim of this study was to evaluate the supplementation rate on yield, composition and fatty acid (FA) profile of milk from 12 crossbred (1/2 Bos taurus – 1/2 Bos indicus) dairy cows at 60 d in milk and assigned to 4 treatments: 0, 150, 300 y 450 g concentrate (as-fed basis)/kg daily milk production, in a crossover design, with 3 periods of 15d. The cows were fed grazed tropical pasture (28% native grasses, mainly Paspalum spp. and Axonopus spp. and 72% Brachiaria spp. and Cynodon neumfluensis). The trial was conducted at the research station in Martínez de la Torre, Veracruz, Mexico. The daily milk yield was recorded through the experiment and weekly milk sampling was evaluated for composition, percentages of milk fat, protein, lactose, solid not fat (SNF), density (kg/m³) and fatty acids profile (g/100 g of fat). The data were analyzed with the SAS MIXED procedure and tested by means of orthogonal polynomials. Increasing concentrate at 0, 150, 300 and 450g/kg milk, increase (linear effect, P < 0.05) milk yield (7.35, 8.62, 8.79, 8.75 ± 0.049 kg) and quadratically affected (P < 0.05) for SNF (6.54, 6.53, 6.64, 6.85 ± 0.047) and density (1022.5, 1022.4, 1022.8, 1023.46 ± 0.63). The C15:0 and C:17:0 decreased (linear effect, P < 0.05) with increasing concentrate. The fatty acid profile particularly beneficial for human health as oleic (18:1N9C), Trans-vaccenic (18:1N11T), linoleic (C18: 2N6C), linolenic (C18:3N3) and conjugated linoleic acid (C18: cis-9, trans-11 CLA y C18: trans-10, cis-12 CLA) were not modified (P > 0.05) by increasing concentrate. Overall, this study indicates that the concentrate supplementation of grazing crossbred dairy cows increase milk production without compromising the FA profile or milk composition.