3-Phenyl-N,N-dimethyl-propylamine derivs. of formula (I) and their isomers and acid-addn. salts are new; X = H, OH, F, Cl or 2-4C alkanoyloxy; R1 = 1-4C alkyl; R2 = H or 1-4C alkyl; R3 = H or 1-4C n-alkyl; or CR2R3 = 4-7C cycloalkylidene; R4 and R5 = gps. defined as follows: when R5 = H, R4 = meta-O-Z, meta-S-C1-3-alkyl, meta-Cl, meta-F, meta-CR9R10R11, ortho-OH, ortho-O-C2-3-alkyl, para-F or para-CR9R10R11; or when R5 = Cl, F, OH or O-C1-3-alkyl in the para position, R4 = Cl, F, OH or O-C1-3-alkyl in the meta position; or R4+R5 = 3,4-OCH=CH or 3,4-OCH=CHO-; Z = H, 1-3C-alkyl, PO(O-C1-4-alkyl)2, CO(OC1-5-alkyl), CONH-C6H4-(C1-3-alkyl), CO-C6H4-R7; R7 = ortho-OCOC1-3-alkyl or meta- or para-CH2N(R8)2; R8 = 1-4C-alkyl or 4-morpholino; R9, R10 and R11 = H or F.