According to an interview with Perrin Kaplan (Vice President of Marketing and Corporate Affairs), Spong has reported that the Gamecube is officially dead. Here is an excerpt from the article:

In a recent interview, Perrin Kaplan (Vice President, Marketing & Corporate Affairs, Nintendo of America) talked around the subject of DVD for Wii and the competition; she finally admitted what all Nintendo fanboys know; and finally confirmed long-awaited death of the GameCube,

The passing of the unit was probably carried out in front of a thousand respectful Wii engineers in Kyoto but was confirmed by Kaplan’s simple statement: “Are we producing any more GameCubes? No”.

By dead they mean no more Gamecube manufacturing and no more 1st party titles coming out. 3rd parties, however, canmake as many games as long as they want. The Gamecube had few highs and too many lows. Hopefully it will never be forgotten. This is JuanotheGamer saying Gamecube… Rest in Peace.

Source: Spong