Abstract: The present invention patent application concerns a new process of polymerization in aqueous emulsion which is able to prepare either rubbers or acrylic elastomers bearing one or two active cure sites, evenly distributed along the polymer chain, whose polymerization final product is residual, monomer free, i.e., a new method which converts 100% of the reactive monomers. The new process developed as described in the present invention patent application also allows the manufacturing of rubbers or elastomers with narrow molecular weight distribution. Another subject of the present patent application is the rubbers or acrylic elastomers resulting from this new process. The present patent application is also intended to protect the rubber or acrylic elastomer curable compositions, which present excellent resistance to heat and cold, to oils, excellent compression set resistance. In addition, the present invention patent application concerns the cured goods made from such rubbers and acrylic elastomers.