In the first statement by Hezbollah's operations centre since the deal was announced, the group made no direct mention of the ceasefire deal.
"The Islamic resistance's operations room affirms that its fighters in all military disciplines will remain fully equipped to deal with the aspirations and assaults of the Israeli enemy," the group said.
It added that its fighters would continue to monitor the withdrawal of Israeli forces beyond the Lebanese borders "with their hands on the trigger".
The ceasefire deal includes the withdrawal of Israeli forces from southern Lebanon within 60 days, Israeli officials said.
The deal, brokered by the U.S. and France, ended the deadliest confrontation between Israel and the Iran-backed militant group in years. Israel is still fighting the Palestinian group Hamas, in the Gaza Strip.