Naftali Bennett, who heads Yamina, on Tuesday told reporters he "wishes luck" to Prime Minister Benjamin Netanyahu in his attempt to form a coalition.
"We will leave no stone unturned on a mission to prevent fifth elections, but without sacrificing our values," he said.
Bennett's comments came shortly after President Reuven Rivlin tasked Netanyahu with forming a new government after he managed to secure the most recommendations from leaders of other parties.