Only 32 per cent of respondents said they opposed the movement, which has caused economic disruption as demonstrators hold up road traffic, the survey conducted by the Opinion Way group found.
The poll was carried out on Tuesday after Macron sought to defuse unrest by pledging a new mechanism to defer future tax rises if international oil prices are increasing.
He also pledged a three-month public consultation aimed at producing a roadmap to help France transition to a low-carbon economy without penalising low-income families.
But he refused to go back on an increase in fuel tax which is due to come into force in January, saying it is needed help fight pollution.
Nearly 80 per cent oppose the planned fuel tax hike in January.
The survey, conducted on behalf of LCI television, RTL radio, and the Le Figaro newspaper, showed that support for the "yellow vests" had remained relatively stable from the start of movement.