The present invention relates generally to methods for generating single stranded nucleic acid molecules following enhanced solid phase polynucleotide amplification. The present invention employs an amplification reaction using primers with differential priming properties at particular annealing conditions or an immobilized primer nested between two aqueous phase primers. Thus, by primer design, solid support primer participation is enhanced relative to aqueous phase primers. The subject invention further provides methods for labeling solid matrices with single and double stranded nucleic acid molecules. Kits for generating single stranded nucleic acid molecules and for conducting amplification reactions also form part of the present invention. The present invention further provides amplification systems for the generation of single stranded nucleic acid molecules optionally labelled with a reporter molecule and their use inter alia as labels, primers and probes.