Hubbard joined the Democratic-Republican Party and became a member of the constitutional convention.
In 1825, Governor Coles was absent from the state for several weeks, and Hubbard fulfilled his duties during this time.
He constructed some arguments that would allow him to officially execute the functions of the state's Governor.
In 1826 Hubbard ran unsuccessfully in the regular elections for the Governor's office.
After the end of his term as Lieutenant Governor, Hubbard did not hold any other political office.