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We present results of an ongoing program at the ESO VLT for spectroscopy ofBL Lac objects lacking a firm redshift estimate and here we report on 15objects. For 11 sources we confirm the BL Lac classification, and we determinenew redshifts for 3 objects, 1 with weak emission lines (PKS 1057-79, z=0.569)and 2 with absorptions from the host galaxy (RBS 1752, z=0.449; RBS 1915,z=0.243); moreover a sub Damped Lyman Alpha (sub-DLA) system is detected in thedirection of the BL Lac PKS 0823-223 (z>=0.911). For the remaining 8 BL Lacs,from the very absence of absorption lines of the host galaxy, lower limits tothe redshift are deduced with z_min in the interval 0.20-0.80. The remainingthree sources are reclassified as a FSRQ (PKS 1145-676, z=0.210; TXS 2346+052,z=0.419) and a misclassified galactic star (PMNJ 1323-3652).

ESO VLT optical spectroscopy of BL Lacertae objects. III. An extension of the sample