Provided are a continuous post-treatment method and device for a penem compound. The method includes the following steps: S1, performing continuous extraction on a reaction crude product of a penem compound, to obtain an extraction heavy phase and an extraction light phase; S2, performing continuous solid-liquid separation on the extraction heavy phase, to obtain a liquid phase separation product; S3, performing continuous pH adjustment on the liquid phase separation product until a pH value thereof is 6.1-6.3, to obtain pH-adjusted solution; and S4, performing continuous crystallization treatment on the pH-adjusted solution by a first crystallization solvent, to obtain a penem compound product. The use of the method has the advantages of high treatment speed and high efficiency, and stable material properties and a low deterioration rate during the treatment, and has better control over the yield and purity of a target product.