We define the e1a e3a -isotropic Smarandache curves of type-1 and type-2, the e1a e2a e3a -isotropic Smarandache curve, and e1a e2a e4a-isotropic Smarandache curves of type-1 and type-2. Then we examine these kinds of isotropic Smarandache curve according to Cartan frame in the complex 4-space C4 and give some differential geometric properties of these Samarandache curves.