An upper limit to the flux of Ultra High Energy (UHE) γ-rays in the primary cosmic radiation is obtained through the data of the electromagnetic and the muon detectors of the EAS-TOP Extensive Air Shower array (Campo Imperatore, National Gran Sasso Laboratories, atmospheric depth 810g cm −2). The search is performed by selecting Extensive Air Showers (EAS) with low muon content. For EAS electron sizes N e > 6.3 · 10 5, no showers are observed with the core located inside a fiducial area and no muons recorded in the 140 m 2 muon detector, during a live time of 8440 h. The 90% c.l. upper limit to the relative intensity of γ-ray with respect to cosmic ray (c.r.) primaries is I γ I c.r. < 7.3·10 −5 , at primary energy E 0 ≥ 10 15 eV: this limit is lower than reported in previous measurements.