The Boston Newspaper Guild will meet with managers at The Boston Globe and the National Labor Relations Board this week as it tries to block a 23 percent pay cut imposed by the newspaper’s parent company.

The cut imposed by the New York Times [NYT] Co. came after the Guild narrowly rejected a new contract with $10 million in annual wage and benefit concessions. The Times Co. says it needed $20 million in annual savings from Globe unions to keep the paper open.

After the cut was announced, the Guild filed an unfair labor complaint with the labor board, which will meet with the union Tuesday.

The Guild also has asked management to rescind the 23 percent wage cut and plans to meet Monday with Globe management.