David Štich (born 15 April 1989 in Plzeň) is a Czech professional ice hockey defenceman who currently plays with Banes Motor České Budějovice in the Czech Extraliga (ELH).
Štich previously played for HC Lasselsberger Plzeň, HC Berounští Medvědi, Saint John Sea Dogs, Montreal Juniors, HC Benátky nad Jizerou Bílí Tygři Liberec and HC Slavia Praha, HC Vítkovice, BK Mladá Boleslav, HC Kladno and Piráti Chomutov.