A series of hydrazones of 1,2-benzisothiazole hydrazides 1a-m, 2a-m, 3a-m, 4a-m, 5a-m as well as their cyclic (1 and 4) and acyclic (2, 3 and 5) 1,2-benzisothiazole parent hydrazides, were synthesised and evaluated as antibacterial and antifungal agents. All of the 2-amino-1,2-benzisothiazol-3(2H)-one derivatives, belonging to series I and IV, showed a good antibacterial activity against Gram positive bacteria. Most of them were active against yeasts too. Compounds 1 and 4, together with 1l, proved to be the most effective compounds. Quantitative structure-activity relationship (QSAR) investigation with a 2D-QSAR analysis was applied to find a correlation between different experimental or calculated physicochemical parameters of the compounds studied. A 3D-QSAR study was performed, applying Comparative Molecular Similarity Indices Analysis (CoMSIA) method, to derive quantitative models relating the structural features of 1,2-benzisothiazole derivatives 1, 1a-m and 4, 4a-m and their antimicrobial activity against Bacillus subtilis, resulted the most sensitive micro-organism.