Research by a feminist pressure group shows more men than women support equal opportunities for females.
The online poll by Survation was commissioned by gender equality and women's rights charity the Fawcett Society.
Between November 30 and December 1, more than 8,000 people across the UK were quizzed on their support for feminism, with the findings published in the Sex Equality: State of the Nation report 2016.
Results showed 67% of people were sympathetic to feminism - 60% of men and 74% of women - but only 7% of people described themselves as feminists.
The report also reveals that 83% wanted equality for the sexes - 86% of men compared with 81% of women.
Jemima Olchawski, head of policy and insight at the Fawcett Society, said: "It's interesting that support for gender equality was slightly higher amongst men. This was driven by women being more likely to respond that they didn't know whether they wanted equality with men.
"Whilst that was surprising, it may be that some were concerned by the idea that equality might mean they have to try and 'have it all' or being treated as if woman and men are exactly the same, when obviously they have different experiences."
Overall, 62% of respondents said they believed more needed to be done to achieve equality between men and women - with 73% thinking equality would be better for the economy.
The survey also found resistance to women's equality amongst a small group of those who make recruitment and interviewing decisions, with 16% of these opposed to equal opportunities for the sexes, compared with 7% of the overall population.
Ms Olchawski said the "barrier bosses" identified in the report are a "real cause for concern".
She said: "These people hold the key to women's progression but a significant minority hold negative views about equality that could be impacting on the way they identify and promote talent.
"Many companies have fantastic equal opportunity policies in place, but if they don't deal with this conscious or unconscious bias amongst those with recruitment responsibility, then they'll find they are still missing out on talent in their workforce."
Minister for women and equalities Nicky Morgan said achieving gender equality is not just good for women but for the whole country.
"That's why we all - both men and women - have a part to play," added the Loughborough MP.
"As we know from the work of business leaders like Lord Davies and from men who have inspired each of us in our own lives, men can be our greatest allies.
"We have come a long way and there are now more girls taking STEM subjects (science, technology, engineering and maths) at school, a record number of women in work, more women on boards and the gender pay gap is at its lowest level ever.
"But there is clearly still a long way to go and that's why this Government is determined to go further and faster than ever before to close the gender pay gap in a generation, and to make sure all women can fulfil their potential."