The timing acquisition of IR-UWB system with very short pulse is difficult to implement due to high sampling rate and high resolution ADC. In this paper, a new two-step timing acquisition method combining energy detection (ED) scheme with the monobit digital receiver is proposed. The usage of the monobit digital receiver, with the comparator instead of high resolution ADC, can reduce the complexity greatly; using the ED scheme to cut down the received data region, the computational load of digital signal processing (DSP) part can be decreased significantly. The acquisition probability of each step is analyzed in this paper. The performance of this approach is also demonstrated comparing with separate monobit and ED methods via simulation.