A method for amplifying a target nucleic acid sequence comprising: a) designing at least a first cross amplification primer and a second cross amplification primer wherein the first cross amplification primer comprises a hybridization sequence which is complementary to a target sequence sense strand, an interchanging sequence which is identical to the hybridization sequence of the second cross amplification primer and a connector sequence to connect the hybridization sequence with the interchanging sequence and wherein the second cross amplification primer comprises a hybridization sequence which is complementary to a target sequence antisense strand, an interchanging sequence which is identical to the hybridization sequence of the first cross amplification primer and a connector sequence to connect the hybridization sequence with the interchanging sequence and at least a first displacement primer and a second displacement primer wherein the first displacement primer is located 5' to the first cross amplification primer and will displace a first cross primer extension strand when extended and wherein the second displacement primer is located 5' to the second cross amplification primer and will displace a second primer extension strand when extended; b) generating cross priming sites by introducing the cross amplification primers and the displacement primers to a target sequence in the presence of a DNA polymerase under isothermal conditions such that cross priming hybridization sites are introduced into the ends of the target nucleic acid sequence thereby producing a target nucleic acid sequence containing cross amplification primer sites; and c) amplification of the target nucleic acid sequence containing cross amplification primer sites through repeated hybridizations and extensions of the cross hybridization primers. a) designing at least a first cross amplification primer and a second cross amplification primer wherein the first cross amplification primer comprises a hybridization sequence which is complementary to a target sequence sense strand, an interchanging sequence which is identical to the hybridization sequence of the second cross amplification primer and a connector sequence to connect the hybridization sequence with the interchanging sequence and wherein the second cross amplification primer comprises a hybridization sequence which is complementary to a target sequence antisense strand, an interchanging sequence which is identical to the hybridization sequence of the first cross amplification primer and a connector sequence to connect the hybridization sequence with the interchanging sequence and at least a first displacement primer and a second displacement primer wherein the first displacement primer is located 5' to the first cross amplification primer and will displace a first cross primer extension strand when extended and wherein the second displacement primer is located 5' to the second cross amplification primer and will displace a second primer extension strand when extended; b) generating cross priming sites by introducing the cross amplification primers and the displacement primers to a target sequence in the presence of a DNA polymerase under isothermal conditions such that cross priming hybridization sites are introduced into the ends of the target nucleic acid sequence thereby producing a target nucleic acid sequence containing cross amplification primer sites; and c) amplification of the target nucleic acid sequence containing cross amplification primer sites through repeated hybridizations and extensions of the cross hybridization primers.