Use of an agmatine-based poly(amidoamine) polymer of formula (I)whereinn is an integer in the range between 20 and 70R1 is H, C1-6 alkyl or taken together with the N atoms to which is bound and R2 is a piperazine ringR2 is C2-6 alkylen C5-6 cycloalkylen CH-COOH, CH-COOR,wherein R is C1-4 alkyl, phenyl or benzylR3 is -(CH2)p-HN-C(NH2)=NH,p is an integer from 1 to 6,wherein said poly(amidoamine) polymer has a number average molecular weight in the range between 3300 and 33000 and a polydispersity index in the range between 1.25 and 1.75 as an in vitro and/or in vivo delivery system of at least one RNA molecule into a cell.