give someone your word
/ˌɡɪv ˌsʌm.wʌn jə ˈwɜːd/idiom
to promise someone something seriously
дать слово, пообещать
Русский аналог: «даю слово»
Keep / break your word — сдержать / нарушить слово.
“I give you my word that I won’t tell anyone.”
“He gave me his word he would pay me back.”
“She always keeps her word.”