Disclosed are methods for synthesizing and/or assembling at least one polynucleotide product having a predefined sequence from a plurality of different oligonucleotides. In exemplary embodiments, the methods involve synthesis and/or amplification of different oligonucleotides immobilized on a solid support, release of synthesized/amplified oligonucleotides in solution to form droplets, recognition and removal of error-containing oligonucleotides, moving or combining two droplets to allow hybridization and/or ligation between two different oligonucleotides, and further chain extension reaction following hybridization and/or ligation to hierarchically generate desired length of polynucleotide products.