Dame Helen is nominated for her role as the filmmaker's wife in the movie Hitchcock, while Dame Judi is up for two films, as MI5 boss in Skyfall and The Best Exotic Marigold Hotel.
Skyfall has been nominated for five awards, including British film, supporting actor ( Javier Bardem), and supporting actress (Dame Judi). The five nominations make Skyfall, which recently made history at the UK box office, the most feted Bond film at the Critics' Circle Awards.
Amour, Argo, Beasts Of The Southern Wild, Life Of Pi and The Master are contending for film of the year. Michael Haneke's Amour and Paul Thomas Anderson's The Master lead the nominations with seven apiece.
The London Film Critics' Circle comprises UK film critics, broadcasters and writers, who voted for the shortlist.
Chairman Jason Solomons said: "Once again, the selections of the British critics illustrate the great variation of extraordinary work in film over the last year."
The 33rd annual edition London Critics' Circle Film Awards will take place on January 20 at the May Fair Hotel.