Detection of specific RNA targets via amplification-mediated techniques is widely used in fundamental studies and medicine due to an essential role of RNA in realization of genetic information and diseases development. Here, we report on an approach for detection of RNA targets based on a particular type of isothermal amplification, namely, reaction of nucleic acid multimerization. The proposed technique requires only a single DNA polymerase possessing reverse transcriptase, DNA-dependent DNA polymerase and strand-displacement activities. Reaction conditions that lead to efficient detection of the target RNAs through multimerization mechanism were determined. The approach was approved using genetic material of SARS-CoV-2 coronavirus as a model viral RNA. Reaction of multimerization allowed to differentiate SARS-CoV-2 RNA-positive samples from SARS-CoV-2 negative samples with high reliability. The proposed technique determines detection of RNA even in samples, which undergone multiple freezing.