"Thank you Linda Bean of L.L.Bean for your great support and courage. People will support you even more now. Buy L.L.Bean," tweeted the Republican real estate tycoon, a week before he is sworn in as America's 45th president.
The Grab Your Wallet campaign added LL Bean to a list of more than 70 companies whom it urges Americans to boycott for doing business with the Trump family or for carrying Trump products.
The company said she was one of more than 50 family members involved in the business and one of 10 members of the board. She donated money to Trump's election efforts in a personal capacity.
"No individual alone speaks on behalf of the business or represents the values of the company," said executive chairman Shawn Gorman.
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"L.L.Bean does not endorse political candidates, take positions on political matters, or make political contributions," he said in a statement.
Bean, granddaughter of the company founder, told the Fox News television network that the boycott was a form of bullying and that it would be the employees who suffer.
"It's bullying me, it's bullying the companies that I own and bullying the one that I am partly am on, the L.L.Bean company," she said.
She complained against the "double standard" of a cousin four years ago donating to outgoing Democratic President Barack Obama without any backlash.
Democratic Congressman Jim Himes from Connecticut today reposted Trump's tweet, adding that "for years" he had heard Republican friends "demand, demand, demand that government not pick winners and losers."