The West Village trees can keep their sweaters after all, the city says.

Parks Department bureaucrats have repealed their decree to snip off nearly two dozen crocheted sweaters wrapped around Christopher Street street trees following last week’s Post story about the arbor outerwear.

“The tree sweaters can stay!” Parks Commissioner Mitchell Silver tweeted last Sunday.

Angered West Villagers had told The Post that the rainbow threads between Bleecker and Hudson Streets boosted business and increased foot traffic.

“Upon reconsideration, we’ve had a change of heart — these beautiful sweaters may stay on the trees for which they were lovingly crafted,” said Parks spokesman Sam Biederman.

Local merchant Holly Boardman, 49, installed the sweaters last Thanksgiving to beautify Christopher Street.