A newly developed electrochemical method--Elimination Voltammetry with Linear Scan (EVLS)--has been applied to the electrochemical study of nucleic acids (NAs) on a silver electrode. Using the linear combination of the currents measured at different scan rates, the EVLS is capable of eliminating one or two selected particular currents. It was shown that the elimination function conserving the reversible diffusion current and eliminating the charging and kinetic currents provides the significant increase of voltammetric signals of DNA. Due to the high sensitivity and resolution power, the EVLS can contribute to study behaviour of nucleic acids on the charged interface and can be applied to nucleic acid analyses and the development of DNA sensors.