The effect of the introduction of distilled rosemary leaves into the diet of the Murciano-Granadina goat on the polyphenolic profile of the goats' milk during the physiological stages of gestation and lactation was studied. The inclusion of rosemary leaves into the animal diet modified neither animal productivity (milk yield) nor milk quality. The following components were found in increased concentration (P < 0.05) in the goats' milk after the introduction of rosemary leaves into their diet: flavonoids hesperidin, naringin, and genkwanin; gallic acid; and phenolic diterpenes carnosol and carnosic acid. With regard to the transfer of polyphenols to the plasma of the suckling goat kid, a statistically significant increase (P < 0.05) in rosmarinic acid, carnosic acid, and carnosol concentrations was detected. From this point of view, distillate rosemary leaves can be proposed as an ingredient in ruminant feed because they both alter neither the yield nor the quality of Murciano-Granadina goats' milk and allow for an increased concentration of polyphenolic components in the goats' milk and in the plasma of the suckling goat kid.