The outbreak of the COVID-19 pandemic has resulted in a significant global mortality rate. According to the World Health Organization (WHO), the virus has impacted a population exceeding 500 million people, leading to around 6.5 million deaths. The antiviral medications remdesivir and molnupiravir are pre-existing drugs that were strategically repositioned and repurposed in the context of combating the COVID-19 pandemic. The determination of these antivirals required the establishment of rapid, sensitive, precise, and reliable methodologies. The current review entails a thorough examination of various analytical methods that have been reported for the quantitative estimation of these antiviral drugs, this includes spectrophotometric, spectrofluorometric, electrochemical, and various chromatographic techniques. Those reported techniques were applied to quantify the examined antiviral medications in a single dosage, co-formulated synthetic mixture as well as in biological fluids. Therefore, the aim of this review is to highlight the current analytical techniques for the assay of both drugs.