The Germans are confident of hosting another tournament following the success of World Cup 2006
On Wednesday the presidential board of the DFB voted unanimously in favour of staging the event in 11 years, before Uefa president Michel Platini was informed of the motion at its congress meeting on Thursday.
The country are yet to host a European Championship as a united nation after West Germany were awarded the competition in 1988 and, having staged the World Cup in 2006, Niersbach believes it is time to plan for another "summer fairytale".
Speaking to reporters at a press conference, the 62-year-old said: "Eighteen years after a unique World Cup in 2006, the time has come for a new summer fairytale in Germany.
"The DFB has organised a Euro Cup in 1988 the last time and we fancy our chances again because the DFB have made a good impression for both Fifa and Uefa in the past.
"We cannot apply yet but Uefa should know that they can count on us doing so."
The host nation will not be determined until seven years before the tournament in 2017 while Munich have also bid to be involved in Euro 2020 - which will be held across 13 European cities.
Germany last won the competition at Euro '96 where Oliver Bierhoff's golden goal secured a 2-1 victory over Czech Republic.