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Presenting sporadic simple groups as automorphism group of designs and graphs is an exciting field in simple group theory. In this paper, we present five simple 3-designs with Janko sporadic group J 2 automorphism. Also, we classify all block-transitive self-orthogonal designs and block-transitive t -designs for t ≥ 2 on 100 points with block stabilizer of order greater than four that admit sporadic group J 2 as automorphism group. Moreover, we determine all flag-transitive designs on 100 points with automorphism group J 2. [ABSTRACT FROM AUTHOR]