Can You Play Wii U Games on a Wii? No.

No. Wii U games do not run on the original Wii.

Hardware Barriers

• CPU/GPU: Wii U (PowerPC 750 tri-core @ 1.24 GHz + AMD Radeon) vs. Wii (single-core Broadway @ 729 MHz + ATI Hollywood).
• RAM: 2 GB (1 GB games) vs. 88 MB.
• Disc: Wii U uses 25 GB proprietary Blu-ray; Wii uses 4.7 GB DVD. Wii drive physically cannot read Wii U discs.
• OS: Completely different kernel, I/O, security.

What Does Work

• Wii games on Wii U — Full backward compatibility (disc or eShop).
• Virtual Console — NES, SNES, N64, GBA, DS, Wii titles purchased on Wii U eShop.

If you want Wii U games, you need a Wii U (or Switch ports where available).