用英语表达“承诺不和他吵架”可以有多种方式，以下是一些常见的表达：
- I promise not to argue with him.
- I vow not to have a fight with him.
- I guarantee that I will not get into an argument with him.
- I pledge not to quarrel with him.
- I assure you that I will refrain from fighting with him.
- I commit to not having a disagreement with him.
- I assure him that I will not argue with him.
- I make a promise not to argue or fight with him.
选择哪种表达方式取决于你想传达的语气和正式程度。例如，“I promise not to argue with him.” 是一种较为正式且直接的表达方式，而 “I assure you that I will refrain from fighting with him.” 则显得更加礼貌和谨慎。