Due to the enormous progress in deep learning, speech enhancement (SE) techniques have shown promising efficacy and play a pivotal role prior to an automatic speech recognition (ASR) system to mitigate the noise effects. In this article, we put forward a novel cross-domain time-reversal enhancement network (CD-TENET). CD-TENET leverages the time-reversed version of a speech signal and two effective features that consider the phase information of a speech signal in the time domain and the frequency domain, respectively, to promote SE performance for noise-robust ASR. Extensive experiments demonstrate that CD-TENET can not only recover the original speech effectively but also improve both SE and ASR performance simultaneously. More surprisingly, the proposed CD-TENET method can offer a marked relative word error rate reduction on test utterances of scenarios contaminated with unseen noises when compared to a strong baseline with the multicondition training setting.