Summary: We derive a \(q\)-deformed version of the Lorentz algebra by deforming the algebra \(\text{SL}(2,\mathbb{C})\). The method is based on linear representations of the algebra on the complex quantum spinor space. We find that the generators usually identified with \(\text{SL}_ q(2,\mathbb{C})\) generate \(\text{SU}_ q(2)\) only. Four additional generators are added which generate Lorentz boosts. The full algebra of all seven generators and their coproduct is presented. We show that in the limit \(q\to 1\) the generators are those of the classical Lorentz algebra plus an additional U(1). Thus we have a deformation of \(\text{SL}(2,\mathbb{C})\times \text{U}(1)\).