Richard Ratcliffe, her husband, told BBC radio that he had spoken to his wife on Saturday and she was ending the action.
"She's decided to stop her hunger strike," he said. "She said that in fact she'd had some breakfast this morning," added Ratcliffe.
Iranian Intelligence authorities arrested Zaghari at the Imam Khomeini International Airport on April 3, 2016, on her way to London where she has been residing after visiting her parents in Tehran.
The 41-year-old was arrested after it became clear that she had run an illegal course to recruit and train people for the Persian service of the BBC, which is a major party to the "soft war" being waged by the West against Tehran, according to Iranian officials.
Zaghari-Ratcliffe had initially been sentenced to five years in jail on charges relating to national security, but authorities later opened her case and tried her on additional charges based on new evidence including a BBC paycheck and contents of her personal email.