Most people want a smoking ban in all workplaces.
The majority of the public think new laws should apply without exception, according to the survey for Action on Smoking and Health (ASH) and Cancer Research UK.
A complete ban was supported by 73% of the 1,000 people in England and Wales questioned ahead of the Health Improvement and Protection Bill, due to be discussed in Parliament in November.
The government is currently proposing to exempt pubs that do not serve prepared food and private membership clubs from the smoke-free legislation.
The poll also shows that 85% of people would visit bars and pubs as often or even more often if they were smoke-free by law.
ASH director Deborah Arnott said: “The public wants action to end second-hand smoke at work. It now kills more than 600 people at work every year, three times the number of deaths from industrial accidents.
“The pointless and damaging exemptions for pubs and clubs must be dropped from the final Bill. Smoke-free legislation must be comprehensive if it is to be successful.”