Process for the preparation of homo- or block copolymers of vinyl aromatic monomers by anionic polymerization comprising the following steps: (i) polymerization of at least one vinyl aromatic monomer and optionally at least one conjugated diene in an inert non-polar solvent in the presence of an organometal initiator, in particular organolithium initiator, in a reactor, preferably a batch reactor, and subsequent deactivation of the obtained "living" polymer chains with a terminating agent to obtain a polymer solution; (ii) feeding the polymer solution obtained in step (i) to a dispersing device to which water is added in a continuous or in a discontinuous mode; (iii) feeding the polymer solution obtained in step (ii) to a buffer vessel; (iv) feeding the continuously withdrawn polymer solution from the buffer vessel of step (iii) into a static mixer for impregnation by addition, preferably by injection, of further water, carbon dioxide and one or more stabilizers; wherein: subsequent to step (iii), the process is conducted in a continuous mode; in step (ii): • the dispersion device is a filter, preferably a bagfilter, having a mesh size of 200 to 1500 μm, a static mixer or a process flow part, in which the characteristic length of the process flow part, the velocity, the density and the dynamic viscosity of the polymer solution are chosen in such a way that a transitional or turbulent flow characterized by a Reynolds number above 2300 occurs; • the flow rate of the polymer solution is 10 to 500 m 3 /h at a temperature of from 50 to 130°C; and • the water is added in amounts of 0.01 to 0.50 l/m 3 polymer solution, preferably 0.05 to 0.20 l/m 3 polymer solution; in step (iv): • the flow rate of the water is more than 0.05 l/m 3 polymer solution, preferably more than 0.10 l/m 3 polymer solution, and • the flow rate of the carbon dioxide is more than 5 l/m 3 polymer solution, preferred 10 to 20 l/m 3 polymer solution, more preferred 14.5 to 17.5 l/m 3 polymer solution; and in steps (ii) and (iv), the pH of the water is in the range of from 5 to 7, preferably 6.2 to 6.6. (i) polymerization of at least one vinyl aromatic monomer and optionally at least one conjugated diene in an inert non-polar solvent in the presence of an organometal initiator, in particular organolithium initiator, in a reactor, preferably a batch reactor, and subsequent deactivation of the obtained "living" polymer chains with a terminating agent to obtain a polymer solution; (ii) feeding the polymer solution obtained in step (i) to a dispersing device to which water is added in a continuous or in a discontinuous mode; (iii) feeding the polymer solution obtained in step (ii) to a buffer vessel; (iv) feeding the continuously withdrawn polymer solution from the buffer vessel of step (iii) into a static mixer for impregnation by addition, preferably by injection, of further water, carbon dioxide and one or more stabilizers; subsequent to step (iii), the process is conducted in a continuous mode; in step (ii): • the dispersion device is a filter, preferably a bagfilter, having a mesh size of 200 to 1500 μm, a static mixer or a process flow part, in which the characteristic length of the process flow part, the velocity, the density and the dynamic viscosity of the polymer solution are chosen in such a way that a transitional or turbulent flow characterized by a Reynolds number above 2300 occurs; • the flow rate of the polymer solution is 10 to 500 m 3 /h at a temperature of from 50 to 130°C; and • the water is added in amounts of 0.01 to 0.50 l/m 3 polymer solution, preferably 0.05 to 0.20 l/m 3 polymer solution; • the dispersion device is a filter, preferably a bagfilter, having a mesh size of 200 to 1500 μm, a static mixer or a process flow part, in which the characteristic length of the process flow part, the velocity, the density and the dynamic viscosity of the polymer solution are chosen in such a way that a transitional or turbulent flow characterized by a Reynolds number above 2300 occurs; • the flow rate of the polymer solution is 10 to 500 m 3 /h at a temperature of from 50 to 130°C; and • the water is added in amounts of 0.01 to 0.50 l/m 3 polymer solution, preferably 0.05 to 0.20 l/m 3 polymer solution; in step (iv): • the flow rate of the water is more than 0.05 l/m 3 polymer solution, preferably more than 0.10 l/m 3 polymer solution, and • the flow rate of the carbon dioxide is more than 5 l/m 3 polymer solution, preferred 10 to 20 l/m 3 polymer solution, more preferred 14.5 to 17.5 l/m 3 polymer solution; and • the flow rate of the water is more than 0.05 l/m 3 polymer solution, preferably more than 0.10 l/m 3 polymer solution, and • the flow rate of the carbon dioxide is more than 5 l/m 3 polymer solution, preferred 10 to 20 l/m 3 polymer solution, more preferred 14.5 to 17.5 l/m 3 polymer solution; and in steps (ii) and (iv), the pH of the water is in the range of from 5 to 7, preferably 6.2 to 6.6.