The number of complaints has almost doubled since early yesterday morning, with a similar increase in the number of MPs voicing their opposition to the BBC's decision.
The number of MPs backing a parliamentary motion urging the BBC to show the appeal stood at more than 50 yesterday morning and is now at more than 120.
There have been protests held outside the BBC's Broadcasting House headquarters, with people burning their TV licences, while a number of actors including Peter Mullan and Samantha Morton have said they won't work for the corporation unless it screens the appeal.
The BBC has argued that screening the appeal would damage perceptions about its impartiality. The same argument was used by Sky News to explain its decision not to air the appeal.
ITV, Channel 4 and Five all aired the two-minute piece last night.
The BBC said it had also received almost 400 calls of support for its stance.