The phrase 'accept his proposal' is correct and usable in written English.
You can use it when someone has offered you something and you want to respond positively - for example, "John was thrilled when I accepted his proposal to join his team."
Poland and other central and eastern European countries have made clear they would not accept his proposal.
Meanwhile Charlie David Krumholtzz) waits for Amita (Navi Rawat) to accept his proposal of marriage, or not.
He claimed the talks with the FARC were going well, and that the guerrillas would soon accept his proposal for foreign mediators to get involved.
Mr. Lucinschi, a top Communist official in the Soviet era, urged the assembly to accept his proposal for a referendum to work out the country's future institutions.
Mr. Mubarak seemed doubtful that Mr. Sharon would accept his proposal or engage in serious negotiations to create a Palestinian state.
But if Mr. Pataki thought his gesture might persuade the Legislature to accept his proposal, or reach a compromise, he was forced to think again.
After observing his grandfather's talent at persuading Panhandle ranchers to accept his proposals, Mr. Abraham persuaded him to invest $30,000 of his holdings in futures contracts.
Hevesi does not have the authority to force the N.Y.R.A., which operates the Belmont, Saratoga and Aqueduct race tracks, to accept his proposals.
Though he succeeded through threats and promises in persuading most of the princes to accept his proposals, no irrevocable commitments had been made by the time the Hungarians were defeated in August 1849.
Downs: The tax credits rebellion and "pig-gate" The prime minister quickly discovered the difficulties of governing with only a small majority when a group of Conservative backbenchers refused to accept his proposals for reducing tax credits, after suggesting in the election that they would be safe from cuts.
President Obama on Monday sternly admonished the financial industry and lawmakers to accept his proposals to reshape financial regulation to protect the nation from a repeat of the excesses that drove Lehman Brothers into bankruptcy and wreaked havoc on the global economy last year.
