Many biophysical techniques that are available to study the structure, function and dynamics of cellular constituents require modification of the target molecules. Site-specific labelling of a protein is of particular interest for fluorescence-based single-molecule measurements including single-molecule FRET or super-resolution microscopy. The labelling procedure should be highly specific but minimally invasive to preserve sensitive biomolecules. The modern molecular engineering toolkit provides elegant solutions to achieve the site-specific modification of a protein of interest often necessitating the incorporation of an unnatural amino acid to introduce a unique reactive moiety. The Amber suppression strategy allows the site-specific incorporation of unnatural amino acids into a protein of interest. Recently, this approach has been transferred to the mammalian expression system. Here, we demonstrate how the combination of unnatural amino acid incorporation paired with current bioorthogonal labelling strategies allow the site-specific engineering of fluorescent dyes into proteins produced in the cellular environment of a human cell. We describe in detail which parameters are important to ensure efficient incorporation of unnatural amino acids into a target protein in human expression systems. We furthermore outline purification and bioorthogonal labelling strategies that allow fast protein preparation and labelling of the modified protein. This way, the complete eukaryotic proteome becomes available for single-molecule fluorescence assays.