OTTAWA  Members of the Canadian Auto Workers union overwhelmingly approved another cost-cutting agreement with General Motors of Canada on Monday.

The union said that 86 percent of its members supported the agreement, which is the third contract negotiated with G.M. in just over a year.

The union reopened a contract reached last May and agreed to cutbacks in March. But the governments of Canada and Ontario said they would not provide the company with financial aid unless the union agreed to accept further cuts.

“Although we were forced to make a number of important sacrifices, the support we received from our members is proof that they recognize the incredible challenges the industry is facing,” Ken Lewenza, the union’s president, said in a statement issued on Monday evening. The union represents about 10,000 people at G.M.