The main programme drew an average 12.2 million while the later results show - in which Harry Judd secured victory - was seen by 11.8 million.
The figures were down slightly on the previous record-breaking year, when around 13 million viewed both shows.
However the main show drew a bigger proportion of the TV audience - 48% - than the 2010 equivalent (46%), and they helped BBC1 to draw three times the peak time audience of ITV1, which screened a Harry Potter movie and a Westlife special.
Strictly's audience peaked last night at the conclusion of the first show with an audience of 13 million.
BBC1 was also bolstered by the first edition of a new series of Winter Wipeout and its family sorcery drama Merlin.
Last night's Strictly figures were also way up on those for the 2009 Strictly final which drew 10.1 million and 10.3 million for its shows.