This paper studies the relation between political polarization and delegation of stabilization policy. There is asymmetric information about how the economy works: unlike voters, two political parties know the variance of an employment shock. Before an election each party proposes a central banker to be chosen if the party wins. It is shown that if the political polarization is small, voters learn the true variance and the central banker and the stabilization policy are the median voter's most preferred. If the political polarization is high, stabilization policy does not reflect the variance but the color of the winning party.