Background: An urgent problem of modern biomedicine is the search for potential ways to reduce the spread of coronavirus infections in human and animal populations and eliminate the impact of coronavirus on their bodies. Aim of the work was to determine the structural organization of C60 fullerenes in a model cell medium, to assess their potential ability to penetrate the model lipid envelope of a coronavirus, thus destroying its integrity, as well as the effectiveness of the anticoronavirus action in the in ovo system. Methods: The research was conducted using the Gromacs 2020 software package and the Charmm36 force field. The CHARMM-GUI web resource was used to construct the lipid envelope of a coronavirus. Virological and toxicological methods were used in the in ovo experiments. Results: It is shown that at the initial stages of molecular dynamics C60 fullerene forms small nanoclusters in the amount of 7–16 molecules, which is affected by the initial concentration of C60 fullerene in a model cell medium. At the same time, the shape of nanostructures for the number of molecules over 16 may differ from the correct spherical shape. It was established that C60 fullerene and its nanoclusters are able to penetrate inside the lipid envelope of a coronavirus. In particular, a single C60 molecule can migrate, completely embed itself in the lipid envelope, or move within it. It was found that C60 fullerene aqueous solution, at the maximum permissible concentration (MPC) of 30 μg/embryo, reduces the infectious activity of the chicken infectious bronchitis (CIB) coronavirus when it is used 1, 2 and 4 h after the infection of a sensitive biological system with a coronavirus. Conclusions: It is shown that aggregation of C60 fullerene in a model cell medium can occur in different ways: either before penetration into the lipid envelope of a coronavirus, or inside it. C60 fullerenes, both individually and as part of nanoclusters, are able to form pores in the envelope of a coronavirus, destroying its integrity, which possibly leads to disruption of the corresponding stages of its replication cycle and attachment to cell receptors. It was established that C60 fullerene aqueous solution, when used in the MPC value, shows antiviral activity against the CIB coronavirus in its early stages of interaction with the cell (1–4 h).