Genetic, phenotypic correlations and heritability of milk somatic cell either count (SCC) or score (SCS) with mastitis udders (MU) and abnormal udder conformation (AUC) of 9368 Hungarian Holstein Friesian cows as daughters of 318 sirs of 28643 observation sample test-day of somatic cell count were estimated using animal model MTDFREML. Correlations of SCC and SCS with MU were higher than those with abnormal teat form. Genetic and phenotypic association of MU with SCS was higher than with SCC. The highest positive genetic relationships were presented for MU with non-cleft udder and unbalanced quarters. Suspended udder was phenotypic highly correlated with SCC and SCS. Long teat was strongly correlated with MU either genetic or phenotypic. Phenotypic correlation of unbalanced teat position with MU, SCC and SCS were higher than genetic estimates. Suspended udder was strongly genetic correlated with long udder, non-cleft udder, unbalanced quarters and unbalanced teat position. Short teat vs. long teat was great correlated genetically with suspended udder and unbalanced teat position. Estimates of heritability, variance and co-variances component are tabulated.