He served as an assistant in the council of the State from 1802 to 1818. Brace was appointed prosecuting attorney for Hartford County in December 1807 and served until May 1809, when he resigned. He was appointed judge of the county court and of probate in May 1809 and continued as judge of the county court until 1821 and as judge of probate until 1824. He was the mayor of Hartford from 1815 to 1824, and was also a member of the state senate in 1819 and 1820. He died in Hartford on August 26, 1837 and was buried in the Old North Cemetery in Hartford.