Biosensors are important devices in clinical diagnostics, food processing, and environmental monitoring for detecting various analytes, especially viruses. These biosensors provide rapid and effective instruments for qualitative and quantitative detection of infectious diseases in real-time. Here, we report the development of biosensors based on various techniques. Additionally, we will explain the mechanisms, advantages, and disadvantages of the most common biosensors that are currently used for viral detection, which could be optical (e.g., surface-enhanced Raman scattering (SERS), Surface plasmon resonance (SPR)) and electrochemical biosensors. Based on that, this review recommends methods for efficient, simple, low-cost, and rapid detection of SARS-CoV-2 (the causative agent of COVID-19) that employ the two types of biosensors depending on attaching hemoglobin β-chain and binding of specific antibodies with SARS-CoV-2 antigens, respectively.