We observed the first known very high energy (VHE) γ-ray emitting unidentified source, TeV J2032+4130, for 94 hours with the MAGIC telescope. The source was detected with a significance of 5.6σ. The flux, position, and angular extension are compatible with the previous ones measured by the HEGRA telescope system five years ago. The integral flux amounts to (4.5±0.3stat±0.35sys)×10 −13 ph cm s above 1 TeV. The source energy spectrum, obtained with the lowest energy threshold to date, is compatible with a single power law with a hard photon index of Γ=-2.0±0.3stat±0.2sys. Subject headings: gamma rays: observations