In orthogonal frequency division multiplexing (OFDM) systems, pulse-shaping contains two purposes: reducing out-of-band emission and inter-carrier interference (ICI). However, when designing the pulse construction, the two purposes have not been considered together. Usually, the major research has focused on the ICI and neglected out-of-band emission. It results in some pulses with good effect of reducing ICI having a high out-of-band emission. In fact, such pulses are not most suitable for practical OFDM systems. In this paper, we design an optimum pulse to balance the two purposes. Simulation results show that the proposed pulse has a good performance in two aspects.