Bajamonti became Mayor of Split on 9 January 1860[2] for the Autonomist Party (succeeding Šimun de Michieli-Vitturi) and stayed in office until 1864, when he was relieved because of his opposition to Austrian centralism.

After democratic reforms allowed for a greater part of the populace to vote, Bajamonti's Autonomist Party lost the 1882 elections.

For many years Bajamonti enjoyed the support of Croats and Italians and in this period of relative social peace was the propeller of important public works.

During his administration, gas lighting was installed instead of oil, the Society for the construction and embellishment of Split was established, the west wing of the representative building on the Prokurative square was built and the old Diocletian's aqueduct waterworks were renovated.

Bajamonti instituted the policy Dalmatian Society (1886) and Società Accommodation Split (1888), until, severely indebted, died in his hometown on 13 January 1891.