The present invention relates to a novel method for detection of target nucleic acid sequences on a solid phase using dual-labeled immobilized probes and its resistance to a 5′ to 3′ exonuclease activity of a DNA polymerase. Because the label is remained on the solid substrate by resistance to nucleases due to labeling of a base component the internal nucleotide, the present invention requires no consideration of a suitability of position of the label for remaining on the solid substrate. The present invention ensures to minimize background signal by positioning labels at a site on probes suitable to maximize quenching efficiency of the dual label system, since it permits to freely determine the position of the internal label on probes.