The meeting was due to take place this afternoon.
Ms Morris today received an email from Tui marketing manager Jarrod Bear saying he was "no longer able to meet''.
"They don't want to meet us at all, and have referred us to the Advertising Standards Authority now,'' Ms Morris said.
``All last week and all this week they were keen to speak to us _ now they don't want to.''
In a message to APNZ, Tui spokesman Jarrod Bear said he was busy with several meetings and was no longer able to meet Ms Morris.
The Tui advertising campaigns adhered to advertising codes and that the company had received "overwhelming support from NZ public'', said Mr Bear.
"She could channel her organisation's concerns through to Advertising Standards Authority.''
Ms Morris was undeterred.
She said the group would continue to put pressure on Tui to remove the ads, which the group claim "demean and belittle women''.
"After they put up billboards 'Having a beer with the Auckland Feminist Group would be fun, yeah right' - they then agreed to meet us. Now that they have cancelled the meeting we assume they agreed to meet us only as a PR exercise and then this morning their PR consultants changed their minds.''