Bill Bratton’s new employer is a powerhouse consulting firm with deep connections to the Clintons — and a controversial past that includes a US Senate probe into its government ­access.

Manhattan-based Teneo Holdings has been hoping to land a top NYPD cop for a while — it “pursued” Bratton’s predecessor, Ray Kelly, for possible employment toward the end of his tenure under then-Mayor Mike Bloomberg but Kelly wasn’t interested, sources told The Post Tuesday.

The co-founders of Teneo Holdings include former top Bill Clinton aide Doug Band and ex-Hillary Clinton fund-raiser Declan Kelly, whom Hillary appointed as economic envoy to Northern Ireland when she was secretary of state.

Declan Kelly and Ray Kelly are not related, said a spokesperson for the ex-top cop.

In 2011, Teneo paid Bill Clinton $100,000 to serve as its “honorary chairman,” but the former president then pledged to stop pocketing the firm’s money in the wake of a Post exposé the next year.

Teneo also reportedly paid $355,000 to Hillary Clinton’s longtime confidant, Huma Abedin, under terms of a special waiver that let Abedin work for the firm while also serving as Hillary’s deputy chief of staff at the State Department.

Last year, Teneo refused to answer the majority of questions posed to it by the Senate Judiciary Committee, which has been investigating potential ethics-rules violations involving the Manhattan-based firm.

Most of the questions involved Abedin, but they also revealed a previously unreported, 2012 meeting between company ­execs and longtime Clinton loyalist Cheryl Mills, then Hillary’s State Department chief of staff.

In a written response, Declan Kelly insisted Teneo was “committed to the highest ethical and professional standards.”