In this paper, a speech enhancement method is presented, which uses spectral and time domain processing and achieves a trade-off between effective noise reduction and low computational load for real-time operations. First, a spectral subtraction method is used to reduce the effect of additive broadband noise on speech. Then, a novel weighting function is used to reduce a residual "musical noise" in time domain. This weighting function is a compound of a short-time zero crossing value and a short-time energy of speech signal. For evaluation of improvement of speech recognition the Slovenian SpeechDat FDB, the German SpeechDat FDB and SpeechDat-Car, as well as the Spanish SpeechDat FDB databases together with the HTK recognition toolkit were used. Word recognition accuracy in connected digits recognition task was improved by 8.7% for Slovenian FDB, by 5.1% for Spanish FDB, by 3.2% for German SpeechDat-Car, and by 2% for German SpeechDat FDB database.