Remnick, 39, who has written more than a hundred pieces for the magazine, will take over from Brown sometime after her Aug. 1 departure, said Perri Dorset, the magazine's senior publicist.
Remnick was one of many widely admired writers introduced by Brown during her six years as editor of the Conde Nast publication. Some of the others include Louis Menand, Anthony Lane and Henry Louis Gates.
Remnick joined the magazine in 1992 after 10 years at The Washington Post, which included a four-year stint in Moscow. That experience led to a book, Lenin's Tomb, which won a 1994 Pulitzer Prize for nonfiction and a George Polk Award for excellence in journalism. He was a finalist for a National Magazine Award in 1998 for a piece on Mike Tyson.
Brown, an Oxford-educated Londoner who previously headed Vanity Fair, announced last week that she was resigning as the magazine's editor to start a company affiliated with Miramax Films.
Dan Halpern, a spokesman for the magazine, said that Brown's imprint will continue in issues through September.
Her run as editor of the once-staid magazine founded by Harold Ross landed her in a sometimes glaring spotlight. In spite of a rise in cover price from $1.75 to $3 since 1992, circulation under Brown's tenure increased to 800,000. But the magazine still lost millions of dollars a year.
Dorothy Wickenden, The New Yorker's executive editor, said last week that S.I. Newhouse Jr., owner of Conde Nast Publications, said that despite the magazine's loss of about $100 million in the past 13 years, the financial concerns would not keep him from continuing to publish "an intelligent, informed, serious magazine of culture and the arts."