The network confirmed that the shows will continue shooting in order to complete their ordered runs, but neither will be picked up for a second season, reported The Wrap.
'Bad Judge' has shot 10 of its 13 episodes so far, while 'A to Z' has two outstanding episodes in its own run of 13.
Both shows will also retain their Thursday night time slots until they finish airing.
Viewing figures for the Kate Walsh-fronted 'Bad Judge' had dropped, and relationship rom-com 'A to Z' starring Ben Feldman and Cristin Milioti had also experienced a slump since its debut on October 2.