Abstract. -Tunneling spectroscopy of epitaxial (100) oriented YBa2Cu3O 7−δ films was performed using an STM at 4.2 K. On atomically smooth areas, tunneling spectra revealing clear U-shaped gaps with relatively low zero bias conductance were measured. These spectra can be well fitted to the tunneling theory into a d-wave superconductor only when introducing a strong dependence of the tunneling probability on the wave-vector k. Possible origins for this k -selectivity in STM measurements will be discussed. On other areas, V-shaped gaps as well as zero bias conductance peaks are observed, indicating relaxation of k -selectivity and the effect of nanofaceting, respectively.The d -wave symmetry of the order parameter of YBa 2 Cu 3 O 7−δ (YBCO) [1, 2, 3] has a special signature in the tunneling spectra measured for these superconductors. The hallmark of this is the zero bias conductance peak (ZBCP) that appears when tunneling along or near the nodal direction ([110] for YBCO). This reflects the existence of Andreev bound states at the Fermi level residing on the pair-breaking (110) surface [4,5,6,7,8]. The ZBCP was measured by numerous groups, using both macroscopic and microscopic (STM) tunnel junctions [9,10,11,12,13,14,15]. Manifestation of the d -wave order parameter in the tunneling spectra acquired along the anti-nodal ([100] for YBCO) and the c-axis directions is more controversial. The theory of tunneling into a d -wave superconductor predicts a V-shaped gap structure for both tunneling directions in the case where the density of states (DOS) is isotropically averaged over the Fermi surface [6,7]. Here, quasi-particle excitations are observed at any finite energy, since the nodal directions in k -space are monitored, resulting in a linear dependence of the dI/dV vs. V tunneling spectra on energy around the Fermi energy (zero bias). Such isotropic tunneling scenario is believed to apply to STM measurements [16]. In contrast, U-shaped gaps are predicted to appear when k -vectors along the anti-nodal direction are preferentially monitored in the tunneling process [7,11,14,17,18]. Resolving this issue is thus important for