Bragman entered politics as a
Democrat, and was elected to the
Cicero Town Council in 1965, and to the Onondaga County Legislature in 1969. He was a member of the
New York State Assembly from 1981 to 2001, sitting in the
184th,
185th,
186th,
187th,
188th,
189th,
190th,
191st,
192nd,
193rd and
194th New York State Legislatures. During his first term, he was indicted on charges stemming from his time in the county legislature; he was accused of seeking $1.6 million in bribe money from a company selling an incineration plant, though he was acquitted.
The New York Times said that Bragman "exerted a profound influence in the Assembly. He was credited with successfully sponsoring more than 300 bills and pumping some $200 million in
pork-barrel funding for local projects in his Central New York State district, which was centered in Syracuse". ==Challenge to Sheldon Silver==