The knockout stage of the 2004–05 UEFA Cup began on 16 February 2005, and concluded with the final at the Estádio José Alvalade in Lisbon on 18 May 2005. The final phase involved the 24 teams that finished in the top three in each group in the group stage and the eight teams that finished in third place in the UEFA Champions League group stage.
Each tie in the final phase, apart from the final, was played over two legs, with each team playing one leg at home. The team that had the higher aggregate score over the two legs progressed to the next round. In the event that aggregate scores finished level, the team that scored more goals away from home over the two legs progressed. If away goals are also equal, 30 minutes of extra time were played. If goals were scored during extra time and the aggregate score was still level, the visiting team qualified by virtue of more away goals scored. If no goals were scored during extra time, there would be a penalty shoot-out after extra time.
In the final, the tie was played over just one leg at a neutral venue. If scores were level at the end of normal time in the final, extra time was played, followed by penalties if scores had remained tied.
^"4. UEFA Cup Finals"(PDF). UEFA Europa League Statistics Handbook 2012/13. Nyon: Union of European Football Associations. 28 May 2013. p. 72. Archived from the original(PDF) on 4 June 2013. Retrieved 27 September 2024.
Note: Between the 1999–2000 and 2008–09 seasons, the competition was still known as the UEFA Cup. All seasons are included following the competition's absorption of the Cup Winners' Cup.