The New Museum’s triennial, which began in 2009 and wrapped up its third iteration in May, has established itself as a kind of energetically internationalist, youth-oriented answer to the Whitney Biennial — the triennial’s first show was made up of artists 33 or younger. For its next installation, the museum has chosen two curators (one of whom is over that age) who have become well known in the art world for covering a lot of ground in a short time. Gary Carrion-Murayari, 34, who has been a curator at the New Museum since 2010 and was co-curator of the Whitney Biennial that same year, will join Alex Gartenfeld, 28, the founding deputy director and chief curator at the Institute for Contemporary Art in Miami, to curate the show, which will open in 2018.

Mr. Carrion-Murayari, who has organized solo exhibitions for Camille Henrot, Ellen Gallagher and Phyllida Barlow, among others, said that while it was far too early to say what direction the triennial would take, he already knew that he was interested in delving into emerging art scenes in Africa, Southeast Asia and South America.

“This will hopefully be a show about things we didn’t know about before we started,” he said, adding that organizing the Whitney Biennial with an older curator, Francesco Bonami, taught him “how to be smart about how you do studio visits and how you travel — it could be a very chaotic and scary experience.”

Mr. Gartenfeld, who in the space of a few months in 2013 went from an editing and writing job at Art in America magazine to being an interim museum director in Miami, said he had been impressed by the last triennial, organized by the curator Lauren Cornell and the artist Ryan Trecartin. That show focused on the ways — both beneficial and terrifying — that technology is reshaping the world and the way artists see the world.