This invention describes a rapid (10 to 15 minutes), simple, flexible and efficient method of nucleic acids extraction for nucleic acid testing assays. This method has the following basic steps: i) mechanical cell lysis using solid particles in the presence of a chelating agent, followed by ii) controlling the presence and / or activity of NAT assays inhibitors. This method is applicable to various biological samples and universal for microorganisms, as one can use it to extract nucleic acids from test samples containing target viruses, bacteria, bacterial spores, fungi, parasites or other eukaryotic cells, including animal and human cells.