Di‐, tri‐, and star block copolymers from polybutadiene (PB) and polydiethylsiloxane (PDES) have been synthesized by sequential anionic polymerization, using mono‐, di‐, and tetrafunctional terminating agents. The tri‐ and star block copolymers were crosslinked by hydrosilylation of the PB double bonds with chlorodimethylsilane, followed by condensation of the chlorosilane groups with ambient humidity. The thus obtained rubbers showed elastomeric tensile behavior and stressinduced mesophase formation. Both the block copolymers and the rubbers showed microphase separation into PB and PDES domains.