The Albaicín ( Spanish pronunciation: [alβai̯ˈθin] ) or Albayzín ( Arabic : ٱلْبَيّازِينْ ) as it was known under Muslim rule, is a district of Granada , in the autonomous community of Andalusia , Spain . It retains the narrow winding streets of its Medieval Moorish past dating back to the Nasrid Kingdom of Granada . It was declared a World Heritage Site in 1984, along with the Alhambra .