Rexhepi is an Albanian surname, originally a patronymic for the given name Rexhep, an older Albanian spelling for "Rajab" via Turkish "Recep". The current spelling is Rexheb. The digraph xh in Albanian orthography denotes the sound , similar to how the initial j is pronounced in the English word jump. The name has been re-spelled as Redzepi outside Albania.

People with that surname include: Arbresha Rexhepi (born 2000), Macedonian judoka Ardian Rexhepi (born 1993), Swedish football player Arsim Rexhepi (born 1972), Kosovan politician Bajram Rexhepi (1954–2017), Interior Minister of the Republic of Kosovo Dardan Rexhepi (born 1992), Swedish football player Davide Redzepi (born 1988), Swiss football player Emilija Redžepi (born 1973), Kosovan politician Haris Redžepi (born 1988), Bosnian football player Klaudio Rexhepi (born 1989), Albanian footballer Lavdrim Rexhepi (born 1998), Swiss footballer Lum Rexhepi (born 1992), Finnish football player Perlat Rexhepi (1919–1942), Albanian anti-fascist student, one of the Three Heroes of Shkodër René Redzepi (born 1977), award-winning Danish chef Rexhep Rexhepi (died 1999), former player and captain of Kosovar football club KF Feronikeli after whom its Rexhep Rexhepi Stadium has been named Rexhep Rexhepi (born 1987), award-winning watchmaker, Kosovar émigré to Switzerland Šakir Redžepi (born 1987), Macedonian football player Sulejman Rexhepi, former leader of the Islamic Religious Community of Macedonia Xhemail Rexhepi (died 2015), commander of the National Liberation Army Xhengis Rexhepi (born 1982), Macedonian coach