It’s not quite the New York State Theater, but there’s a new naming opportunity at Lincoln Center for the Performing Arts: The arts complex is seeking a donor for its $22 million visitor center, which will be constructed in the next year in the public galleria formerly known as the Harmony Atrium.

The visitor center will be a point of entry for thousands of visitors, from tourists to the young people who will no doubt flock to Lincoln Center’s first centralized discount ticket facility. The design, by the architects Tod Williams and Billie Tsien, features nature-inspired elements — a plant wall, rods of falling water, moss-green marble benches — as well as a café and a 40-foot-long “media wall” that will display program schedules and footage of Lincoln Center performances.

Ms. Tsien described the space as “an indoor garden, with water, plants, and natural light” coming through a series of 16 skylights.

(The design is in the public review process.)

The president of Lincoln Center, Reynold Levy, said it took remarkable cooperation among the Center’s constituents to make the discount-ticket facility happen.

“TKTS was not an easy birth,” he said, referring to the discount ticket booth for Broadway shows, which opened in 1973. “And Broadway has none of the obstacles that Lincoln Center does: It doesn’t have subscriptions; it doesn’t have corporate sponsors; it doesn’t have trustees, and price points that go from $12 film tickets to $400 Metropolitan Opera tickets. Figuring out the algorithm so that we would have enough tickets available every day to make it attractive was a challenge.”

Every constituent will be required to provide a minimum number of seats every day, with exceptions made for shows, such as “South Pacific,” that are almost entirely sold out. “It took years for the TKTS facility to develop a steady state,” he said. “They needed to get some experience, and that’s what we’re going to have to do.”

Asked whether the constituents will also continue their individual discount programs, Mr. Levy said they would, at least for the first year. “I suspect that, as they experience the atrium and how it works and how popular it is, they’ll make adjustments,” he added.

Beyond being a venue to buy tickets and get information, the visitor center will offer a place for Lincoln Center audiences to sit and relax, along with the new lawn atop the restaurant, the new bleachers outside Alice Tully Hall, and the grove of trees in front of the State Theater.

“People now say, ‘Meet me at the fountain,'” Mr. Levy said. “We want them to also say: ‘Meet me at the bleachers,’ or ‘Meet me on the lawn,’ or ‘Meet me in the atrium.'”