Abstract
A regular curve in Minkowski space-time E-1(4), whose position vector is composed by Frenet frame vectors on another regular curve, is called a Smarandache curve. We define a special case of such curves and call it Smarandache TB2 curves in the Minkowski space-time E-1(4). Moreover, we compute formulas of its Frenet apparatus according to base curve via the method expressed in [5, 6]. By this way, we obtain another orthonormal frame of a such curve in E-1(4).