Along with the shooting game and some of the firm’s first consoles, exhibits include a giant controller that two people operate and another featuring ancient Japanese poems.
The company first announced plans for the museum in 2021, part of efforts to widen its revenue stream, and it was originally meant to open earlier this year.
Super Nintendo World, the company’s first theme park, opened in March 2021 after months of pandemic delays.
Part of the Universal Studios Japan complex in Osaka, it features a Mario Kart ride with a real-life Bowser’s Castle.
Nintendo began life in 1889 as a manufacturer of Japanese “hanafuda” cards and launched its first home video game machines, known as TV Game 15 and TV Game 6, in 1977.
The Super Mario Bros games were launched in 1985, two years after the company began selling its Nintendo Entertainment System console.
Tickets for the museum for October and November went on sale on Tuesday costing 3,300 yen (US$22.60) for adults and less for children.