In the years 1993-2000 the two experiments H1 and ZEUS at the ep collider HERA each have accumulated a luminosity of approximately 130 pb~(-1) at center of mass energies of 300 — 320 GeV. The data are used to search for physics beyond the Standard Model. No significant deviation of the measured cross section dσ/dQ~2 from the Standard Model expectation is observed. In the framework of contact interactions this result is expressed as limits on mass scales for compositeness models or limits on leptoquark masses. Furthermore searches for lepton flavour violating processes ep → lX (l = μ, τ) are performed. No excess above the expectations from the Standard Model is observed. Limits on the Yukawa coupling λ_(lq) as function of leptoquark mass are derived.
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