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Developing frequency combs spectral technologies has potential applications and prospects in the wide fields of cosmology, meteorology, and microwave measurement. Here, we demonstrate a Rydberg microwave frequency comb spectrometer via multiple-microwave field dressing, providing precise microwave measurement. The Rydberg microwave frequency comb spectrum provides a real-time and absolute frequency measurement with a range of 125 MHz and gives the relative phase of a single-frequency microwave signal. The reported experiment helps real-time sensing of an unknown microwave signal in a wide range using Rydberg atoms, which are vital for Rydberg-atom-based microwave metrology.