There are few studies reporting the effects of saturated fatty acid (FA) supplementation on odd- and branched-chain fatty acids (OBCFA) in milk fat or the relationship of nutrient intake and digestibility on OBCFA in milk fat. We used a meta-analysis to evaluate the effects of dietary inclusion of mixed FA (MIX: ~34% C16:0 and ~50% C18:0) or palmitic acid-enriched (PALM: ≥80% C16:0) supplements on OBCFA in milk fat of dairy cows. The meta-regression was used to evaluate the relationships of DMI and NDF digestibility (NDFd) with yields OBCFA in milk fat. OBCFA were grouped as follows: odd linear FA (C13:0 + C15:0 + C17:0); iso FA (iso C13:0 + iso C14:0 + iso C15:0), and anteiso FA (anteiso C13:0 + anteiso C15:0). The data set was assembled with individual cow data from 3 studies at Michigan State University, including individual observations of 88 Holstein cows (74 multiparous and 14 primiparous). PALM (n = 107) and MIX (n = 47) were compared with non-FA supplemented diets as control (n = 105). Statistical analyses were performed using the PROC MIXED of SAS, including study as random effect. PALM reduced the yield of odd linear, iso, and anteiso FA by 1.58 (P = 0.05), 0.27 (P = 0.05) and 0.50 g/d (P < 0.01) respectively; a total decrease in OBCFA of 2.26 g/d (P = 0.03). MIX did not affect odd linear FA (P = 0.41), decreased iso FA (0.36 g/d; P = 0.04), tended to decrease anteiso FA (0.41 g/d; P = 0.07), and had no effect on total OBCFA (P = 0.71). We observed a similar pattern of results for OBCFA content compared with yield of OBCFA in milk fat. There was a positive linear relationship between DMI (kg/d) and the yield of total OBCFA (R2 = 0.19; P < 0.01). There was a tendency for a quadratic relationship between NDFd and yield of iso FA (R2 = 0.04; P = 0.06), with the highest value for iso FA yield obtained at 44.8% NDFd. There was no relationship among the other OBCFA groups and NDFd. In conclusion, PALM supplementation decreased the content and yield of all OBCFA groups. MIX supplementation only decreased the yield of iso FA and the content of anteiso FA. DMI increased OBCFA yield.