Amid uproar over the N.F.L.’s handling of domestic abuse cases involving some of its players, Senator Cory Booker, Democrat of New Jersey, has introduced a bill that would disallow major professional sports leagues, most notably the N.F.L., from claiming status as tax-exempt nonprofits.

The bill is aimed at raising $100 million over 10 years, according to Booker’s office, which would be used to pay for state domestic abuse programs across the country. It is unlikely to gain widespread support.

Under the tax code, N.F.L. teams pay taxes, but the league office, which is funded by dues from its franchises, does not. The league has enjoyed this status, which is similar to those granted to industry associations, since the 1960s.

Other prominent leagues that have a similar status, including the N.H.L. and the women’s and men’s golf and tennis associations, would also be affected.