"Two beautiful venues for our finals for 2015," UEFA General Secretary Gianni Infantino told a news conference.
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The 2015 match, at Berlin's Olympic Stadium, will be the first European final in the German capital which hosted the Olympic Games in 1936 and the 2006 World Cup final.
"I had expressed our wish during the 2012 final in Munich to Michel Platini that we would like to pretty soon host again such a global event," German Football Federation (DFB) President Wolfgang Niersbach said in a statement.
"It is a recognition of our abilities as organisers and hosts that this will now happen so soon. I thank UEFA for the trust and promise a superb football celebration in Berlin."
Poland, which co-hosted Euro 2012 with Ukraine, has never staged a major European final, but Warsaw's refurbished National Stadium staged the opening match of last year's European Championship between Poland and Greece.
"For the Champions League final there are few stadiums that can host it, but there are more alternatives for the Europa League," Infantino said.
"But we have decided to go back to Warsaw with excellent memories of Euro 2012 and because it is a fantastic, modern efficient venue in a wonderful city in the centre of Europe."
