這兩個單詞，意思接近。

permit允許、默許的意思。

grant允許（常用於上級對下級）。

例如:

Employees are permitted to use the golf course during their free hours .

譯文: 准許僱員在業餘時間使用Golf球場。

The majority of foreign nationals working here have work permits .

譯文: 大多數在這裡工作的外華人都有工作許可證。

France has agreed to grant him political asylum

譯文: 法國已經同意給予他政治避難。

The magistrates granted that the charity was justified in bringing the action.

譯文: 地方法官承認該慈善機構有理由提起訴訟。