We define global and local Weyl modules for Lie superalgebras of the form g⊗A, where A is an associative commutative unital C-algebra and g is a basic Lie superalgebra or sl(n,n), n≥2. Under some mild assumptions, we prove universality, finite-dimensionality, and tensor product decomposition properties for these modules. These properties are analogues of those of Weyl modules in the non-super setting. We also point out some features that are new in the super case Ver menos