This caused a flurry of criticism on Twitter linked to the trending hashtags #thankstony and #PutYourIronOut.
For some, Mr Abbott's remark revived memories of another carbon tax comment in 2010 when, as opposition leader, he claimed its impact on electricity prices would impact greatly on women as they did the ironing.
Acting opposition leader Penny Wong said Mr Abbott was out of touch.
Greens leader Christine Milne said "he might as well have said his greatest achievement was to help women buy a better iron so they can stay home and iron more often".
Mr Abbott also nominated his government's planned improvements to childcare arrangements and his upscaled paid parental leave scheme.
"And obviously I'm very pleased that I was able to promote three women in my own ministry," he added.
The most powerful female MP in government, Foreign Minister Julie Bishop, backed Mr Abbott, saying he was focused on policy changes that supported families and households.
"Women's policy is everyone's policy. What's good for women is good for the community generally," she said.
Ms Bishop will be joined in cabinet by Sussan Ley, who was elevated to health minister in Mr Abbott's reshuffle of frontbench positions.
"I believe I've proved my worth," Ms Ley said.
Mr Abbott also promoted backbenchers Kelly O'Dwyer and Karen Andrews to parliamentary secretary positions.
He denied the government was in damage control in making the reshuffle, after admitting it had experienced a "ragged" end to 2014.
"Every so often you do need to refresh the government," he said.
The new ministry will be sworn in on Tuesday.
- AAP