Isabella Lovin, who is also the country`s climate minister, published a photo that shows her signing a new law surrounded by female colleagues.
The image has drawn comparisons with Mr Trump`s photo in which no women were present.
Within hours the post was shared and liked thousands of times on Facebook.
"Wonderful Picture! Hope you sent it to the man on the other side of the ocean," writes one user.
"Make the Planet Great Again!" writes another.
Facebook user Kimini Delfos said in a post that such an image should not spark the reaction that it has, suggesting that people "calm down".
"Why is it so difficult to see a picture with just women and not difficult to see a picture with only men?" she questioned.
Is Sweden`s deputy PM trolling Donald Trump in Facebook photo?
04 February 2017
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Sweden`s deputy PM is causing a stir after posting an image appearing to parody Donald Trump`s signing of an anti-abortion executive order.
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