Results obtained by the H1 and ZEUS collaborations on searches for Lepton Flavour Violation (LFV) are reported. No evidence was found for lepton--flavour violations and constraints were derived on the production of leptoquarks which could mediate such interactions. New limits in the muon channel obtained by ZEUS using 1999 and 2000 data, corresponding to an integrated luminosity of 66 pb^-1, have been combined with previous ZEUS results, thus using the whole 1994--2000 statistics (130 pb^-1). All limits have been then compared to those obtained by low energy experiments.

PACS numbers: 12.60.--i