The open access book set LNCS 16505 + 16506 constitutes the proceedings of the 32nd International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2026, which was held as part of the International Joint Conferences on Theory and Practice of Software, ETAPS 2026, in Turin, Italy, during April 11-16, 2026.The 52 full papers, 4 short papers and 16 SV-COMP papers included in the proceedings were carefully reviewed and selected from 177 submissions. They were organized in topical sections as follows: Part I: SAT/SMT; Proofs and QUantified Elimination; Automata; Verification of Probabilistic Systems; Cyber-Physical Systems; Part II: Software Verification; Program Verification; Java Analysis; Hardware Verification and Model Checking; Quantum; SV-COMP.