We present recent results of the MEG experiment, which has been searching for the Lepton Flavour Violating decay µ + → e + γ since several years. In a combined dataset corresponding to 3.6 × 10 14 stopped muons on target we didn't find any evidence for this decay and we established an upper bound on the µ + → e + γ branching ratio of 5.7 × 10 −13 at 90 % C.L., which improves our world best limit by a factor four. We discuss also the expected final sensitivity of the MEG experiment.