Fatty acid composition in milk has a vital importance in the early lactation period when lambs are milking. In this study, the change in milk fatty acid composition of Akkaraman ewe and Hair goats fed under the same conditions in the first 30 days of lactation was investigated. 10 Akkaraman ewe and 10 Hair goats were used in 2-5 parities. Ewe and goats were born in February. The animals were kept to the same feeding indoor, while experiment was going on. In addition to 1 kg of barley per animal, wheat straw was given ad libitum. Individual milk samples were taken from each animal on 0 th , 1st, 3rd, 7 th , 15 th and 30 th of lactation days. While C16:1, C18:3n3 were found more in goat milk (p<0.05), C20:5n3 (EPA) was found mostly in ewe milk (p<0.01). The mean CLAC9t11 was 0.378±0.1 g/100 in ewe milk and 0.426±0.1 g/100 in goat milk throughout the 30-day lactation. Contrary to the general literature information, the highest CLA ratio in milk was found in goat milk and most lipid health indexes were determined in favor of goats. Omega 6/3 ratio was determined as 7.90±2.5 g/100 g in fatty acids in Akkaraman ewe milk and 10.35±4.7 g/100 g in fatty acids in Hair goat milk (p<0.05). It is an important issue which should be emphasized that the ratios of SFA, MUFA, PUFA, MUFA/SFA, PUFA/SFA and UFA/SFA only in goat milk change in the first 30 days of lactation.