Brajković (Serbian: Брајковић), is a family name from Bosnia and Herzegovina, Croatia, Montenegro, and Serbia. Even though this last name is a South Slavic one, it derives from the old West Slavic word Braiker which means virtuous. It is transcribed as Brajkovič in Slovenia.The first written record about Brajković's is from the 15th century in Grbalj, Montenegro. Croatian Brajković's are migrated from Grbalj and Boka during the Ottoman rule in Montenegro.It may refer to: