Numerous studies conducted since the Covid-19 pandemic began in early 2020 have revealed that only 14 to 15% of infected individuals experience severe sickness; the remainder either have minimal or no symptoms. The COVID pandemic continues as new variants of covid-19 are emerging as a result of modifications to the virus’s genetic coding. It is important to understand the modifications in covid-19 protein structure. The fractal analysis of covid-19 proteins can provide better understanding about the protein structure. When a structural or dynamic pattern repeats at various spatial or temporal scales, it is known as a fractal and is one of the most striking examples of self-similarity. It is well known that the self-similarity that appears in the distributions of their biophysical and biochemical properties of proteins can be used as a useful tool to identify the fundamentally nonlinear and inhomogeneous behaviors of protein structures. In this paper, we have proposed a method to calculated fuzzy fractal dimension and covering ability of protein structure network of covid-19 variant proteins. Interestingly, we observed that the protein structure network of alpha, beta and delta variants of covid-19 have same fractal dimension, but for omicron variant fractal dimension comparatively less.