DNA damage inside biological systems may result in diseases like cancer. One of the major repairing mechanisms is the nucleotide excision repair (NER) that recognizes and repairs the damage caused by several internal and external exposures, such as DNA double-strand distortion due to the chemical modifications. Recognition of lesions is the initial stage of the DNA damage repair, which occurs with the help of several proteins like Replication Protein A (RPA) and Xeroderma Pigmentosum group A (XPA). The recognition process involves complex conformational dynamics of the proteins. Studying the dynamics of damage recognition by these proteins helps us to understand the mechanism and to develop therapeutics to increase the efficiency of recognition. Here, we use single-molecule fluorescence fluctuation measurements of a dye, labeled at a damaged position on DNA, to understand the interaction of the damage site with RPA14 and XPA. Our results suggest that interactive conformational dynamics of RPA14 with damaged DNA is inhomogeneous due to its low affinity for DNA, whereas binding of XPA with the already formed DNA-RPA14 complex may increase the specificity of damage recognition by controlling the conformational fluctuation dynamics of the complex.