A spokeswoman for News Corporation declined to comment on the boycott.
News Corporation, The New York Post’s parent company, is owned by the media mogul Rupert Murdoch, who also owns Fox News. Mr. Murdoch retained control of the media company after selling its former parent company, 21st Century Fox, to the Walt Disney Company in March.
Yemeni store owners cannot “be in the business of spreading racism and hate,” said Ibraham Qatabi, a Yemeni-American activist from Bay Ridge, Brooklyn, who helped organize the boycott.
“We need to stand up for justice and encourage Yemeni-Americans and the broader community in New York to do the same,” Mr. Qatabi said.
Yemeni-Americans own between 4,000 and 6,000 of the roughly 10,000 bodegas operating in New York City, according to the merchants association.
Two years ago, Yemeni-owned bodegas and grocery stores closed their shops for a day in protest of President Trump’s travel ban, and thousands of Yemeni-Americans poured into the plaza at Borough Hall in Brooklyn to rally against the ban.
“I was shocked. How a newspaper in New York City would do a front page like that is crazy,” said Mohammed Alsebri, a Yemeni Uber driver in New York. “It makes us less safe, because ignorant people will read these words and attack any Muslim, just like they did after 9/11. We are going to go through that all over again.”
Yemeni-American leaders met on Saturday night in Bay Ridge to organize the boycott under the fluorescent lights of the merchants association’s office on Fifth Avenue. Personal stories about anti-Muslim attacks in New York quickly took over the conversation.