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Djurovski, who represented Yugoslavia and Macedonia during his playing career, has been handed a two-year contract, with an option to extend for two further years.
He will take up his new post on January 1 and replaces Zoran Stratev, who had been placed in caretaker charge after Cedomir Janevski's resignation in September.
In quotes reported by UEFA's official website, Djurovski said: "It is a huge honour and satisfaction to be appointed the new manager of Macedonia.
"I will invest all of my football knowledge so that we can make significant progress as a team. What I can promise is that we will take a dynamic, attacking approach.
"Macedonia have the potential to achieve much more in European football. We need a fresh approach, more energy, and I hope I'll be able to provide that."
After ending his playing career in 1995, Djurovski has enjoyed coaching stints with the likes of Servette and Crvena Zvezda.
The 51-year-old has recently served as the assistant to Dragan Stojkovic at Japanese side Napoya Grampus.
