A US study, published in the Journal of Applied Psychology, suggests that they will consistently out-earn more "modern-thinking" men.
On average, this meant an extra $8,500 (£4,722) a year.
One UK psychologist said men inclined to wield power in their relationships might also do this at work.
The study, carried out by researchers at the University of Florida, was conducted on a large scale, with 12,686 men and women interviewed in 1979, when they were aged between 14 and 22, and three times in the following two decades, the last time in 2005.
The researchers asked them whether they believed a woman's place was in the home, or whether the employment of women was likely to lead to higher rates of juvenile delinquency.
Predictably, more men tended to hold these views than women, although the gap has narrowed significantly over time.
However, when the men were asked about their salaries, another gap emerged, with those holding "traditional" views earning significantly more.
Conversely, women who held the opposite view did earn slightly more, on average $1,500 (£833) more than women with "traditional" views.
Dr Timothy Judge, one of the researchers, said: "More traditional people may be seeking to preserve the historical separation of work and domestic roles - our results prove that is, in fact, the case."
She said: "It could be that more traditionally-minded men are interested in power, both in terms of access to resources - money in this case - and also in terms of a woman who is submissive.
"Another theory suggests that employers are more likely to promote men who are the sole earner in preference to those who do not - they recognise that they need more support for their families, because they are the breadwinner."
Read more stories in the news.