A promise is a promise.
一言既出，駟馬難追。

– Did you take that money?
– No,cross my heart!
— 你拿了錢嗎?  
— 沒有，我發(fā)誓!  

Cross my heart意為“我發(fā)誓”。

On my honor, I swear to youthat I did not steal that money!
以我的名譽(yù)擔(dān)保， 我向你發(fā)誓我沒有偷那筆錢!  

On (one’s) honor意為“以名譽(yù)擔(dān)保”。

– But listen, you have to promise never to tell anyone.
–My word is my bond.
— 聽著，你得保證不告訴任何人。 
—我說話算話。 

Bond在這里表示“契約，合約”，My word is my bond意為“我說話算數(shù)”。

Take my word for it – I will not let the information out.
相信我，我不會把消息泄露出去的。 

Your clients will distrust you if you keep promising them the earth. 
如果你總是給客戶不切實(shí)際的承諾，客戶就會不信任你。 

Promise (one) the earth意為“向(某人)作無法兌現(xiàn)的承諾”。