This paper proposes a new QR-decomposition-based recursive frequency estimation algorithm for multiple sinusoids based on the linear prediction (LP) approach. It extends the batch processing algorithm of So et al. in order to process the input samples recursively at a much lower arithmetic complexity for supporting on-line applications. Furthermore, a weighted least M-estimate (WLM) algorithm is developed to improve robustness to impulsive noise. Simulation results show that the robust recursive frequency estimator has a better performance than the conventional LS estimation in impulsive noise environment