The last time the Metropolitan Opera’s orchestra went on tour was in 2002. Since then, its appearances outside Lincoln Center have been relegated to annual postseason engagements at Carnegie Hall.

But that will change under the leadership of the Met’s new music director, Yannick Nézet-Séguin, whose influence on repertoire and performances will take shape in earnest beginning next season. That includes the first Met Orchestra tour in nearly 20 years, planned for summer 2021, the company announced on Monday.

“These concerts will show off the Met Orchestra at full capacity under Yannick,” Peter Gelb, the Met’s general manager, said in a statement, “demonstrating their dual strengths in symphonic and operatic repertoire.”

The tour, conducted by Mr. Nézet-Séguin, will take place soon after the ensemble’s three Carnegie appearances in June 2021, replicating two programs from that series in five concerts at the Barbican Center in London (June 29); the Philharmonie in Paris (June 30 and July 1); and the Festpielhaus in Baden-Baden, Germany (July 3 and 4).