Pseudomonas aeruginosa (P. aeruginosa) is one of the community‐acquired and healthcare‐associated infections causing organisms. It has become resistant to most of the available antibiotics and is termed multi‐drug resistance (MDR). There are a limited number of antibiotics are available to treat such MDR organism causing infections. The ceftolozane/tazobactam is one among the combination drug therapy (CDT) prescribed for the treatment of MDR causing infections. The resistance for the same CDT was observed in the MDR P. aeruginosa harboring VIM‐5 and IMP‐7 Metallo beta (β)‐lactamases (MBLs). To explore the resistance mechanism at the molecular level, docking studies were carried out for antibiotics against VIM‐5 and IMP‐7 MBLs. The Zn2 metal ions carry out the nucleophile attack on the carbonyl carbon of the β‐lactam ring along with conserved water molecules. To find lead compounds against the MBLs, a virtual screening process was carried out. We have employed MODELLER for structure modeling, AutoDock for molecular docking and AutoDock Vina, Molinspiration, PASS prediction & admetSAR in virtual screening. The search of low binding energy ceftolozane analogs against VIM‐5 and IMP‐7 MBLs has resulted in the ZINC000029060075 and ZINC000009163636 analogs. Similarly, the screening of high binding energy inhibitors against VIM‐5 and IMP‐7 MBLs has resulted in ZINC000003831503 and ZINC000000897247 tazobactam analogs respectively. The ADMET prediction results in the non‐toxicity of the lead compounds. Our study may provide new insights for the scientist who are designing novel drugs against MDR P. aeruginosa causing infections.