This study addresses the simultaneous Hinf control problem for continuous-time descriptor systems, namely, a single controller is sought to stabilise a collection of descriptor systems with a prescribed Hinf norm. First, this problem is transformed equivalently to the strong Hinf stabilisation problem of an augmented system. Then, a sufficient condition of the existence of strongly admissible Hinf controllers is proposed in terms of strict linear matrix inequalities. Finally, numerical examples are presented to show the effectiveness of the proposed method.