Conjugate DNAzymes were synthesized by solid phase fragment condensation and their biological properties were characterized. They have increased affinity to target RNA, enhanced stability against DNase 1 digestion and comparable or higher RNA cleaving activity compared with native and also phosphorothioate DNA zymes. It was also demonstrated that conjugate DNAzymes could inhibit BCR-ABL tyrosine kinase in cellular lysis of human leukemia cell line. Consequently DNAzymes can be expected to act effectively in cellular system and also in vivo system.