Timoci is a Fijian masculine given name. Notable people with the name include:
Timoci Bavadra (1934–1989), Fijian medical doctor and former Prime Minister of Fiji Timoci Matanavou (born 1984), Fijian rugby union player Timoci Nagusa (born 1987), Fijian rugby union player Timoci Naivaluwaqa (1953–2006), Fijian politician Timoci Natuva (born 1957), Fijian politician Timoci Sauvoli (born 1991), Fijian rugby union player Timoci Silatolu, Fijian politician Timoci Tavatavanawai (born 1998), Fijian rugby union player Timoci Tuivaga (1931–2015), Fijian judge Timoci Volavola, Fijian rugby union player