Rada went on to Dukla Prague in 2007, keeping three clean sheets in the first part of the 2007–08 Czech 2. Liga. Rada played for Dukla in the second division for four years before the club celebrated promotion to the top-flight Czech First League in 2011. Rada was responsible for two of the visiting team's goals in August 2011 as league champions FC Viktoria Plzeň won 4–2 against Dukla in Prague, dropping the ball in the goal area immediately before one goal and kicking a goal kick along the ground directly to an opponent, allowing an easy goal on another occasion. In November 2012, Rada extended his contract with Dukla until the summer of 2015. He signed another extension to his contract, in the winter break of the 2018–2019 season, until 2022.