"I suggest the meeting be put off till next week" he said.

为什么是be put off, 不是suggest sb doing 么？

     【答】在 suggest sb doing 结构中， sb 是 doing 的逻辑主语，sb 应该用所有格或者宾格。如：

        I suggest (our) meeting at the station. 我提议我们在车站会合。(= I suggest that we (should) meet at the station.)（摘自《英汉多功能词典》新编升级版p.1700）

        "I suggest the meeting be put off till next week" he said.

         这里的 the meeting 是 put off 意思上的宾语，在逻辑上没有主谓关系，是 the meeting 被 put off （推迟），所以是be put off。即：

          "I suggest the meeting be put off till next week" he said.

         = "I suggest that the meeting be put off till next week" he said.

         suggest 后面的宾语从句应该用虚拟语气：动词原型或should +动词原形。