Asda has cut the Wii U price by £50.
Other retailers such as GAME and ShopTo have yet to follow suit.
Last month, a number of independent UK retailers called for Nintendo to cut the Wii U price in order to help drive sales.
Wii U games accounted for about 1.6 per cent of total UK software sales in January, and it has been estimated that North American Wii U sales came in between 45,000 and 59,000 units during the same month.
And this week Ubisoft CEO Yves Guillemot pledged to continue supporting Wii U, but said: "We think Wii U is a great machine. It just has to sell more."
In January, Nintendo lowered its annual Wii U sales forecast from 5.5 million units to four million following weaker than expected demand for the console. However, company president Satoru Iwata moved quickly to rule out the possibility of a Wii U price cut.