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In this paper we compute the mapping class group of closed simply-connected6-manifolds $M$ which look like complete intersections, i.~e.~$H^2(M;\mathbb Z)= \mathbb Z \cdot x$ with $x^3 \ne 0$. We prove some algebraic properties ofthe mapping class group, like for example we compute the abelianization and thecenter. We show that modulo the center the mapping class group is residuallyfinite and virtually torsion-free. We also study low dimensional homologygroups. The results are very similar to the computation of the mapping classgroup of Riemann surfaces. We give generators of the mapping class group, andgenerators and relations for the subgroup acting trivially on $\pi_{3}(M)$.

Mapping class group of manifolds which look like $3$-dimensional complete intersections