"The best answer to terrorism is the expansion of settlements," Lieberman wrote on Twitter, announcing 400 new housing units in the Adam settlement north of Jerusalem a day after the deadly stabbing.
The teenage attacker snuck into the settlement on Thursday evening, the Israeli army said, stabbing three people before being shot dead.
The army named the man who died as Yotam Ovadia, 31, with Israeli media saying he had two young children.
The attacker was later identified by official Palestinian media as Mohammed Dar Youssef, 17, from the village of Kobar.
Hardline Israeli minister visits flashpoint Jerusalem shrine
The army said Friday it had raided the village, questioned a number of his family members and suspended their work permits.
During the raid on Friday morning, clashes broke out between young Palestinians and soldiers firing tear gas, an AFP journalist reported.
Official Palestinian news agency Wafa said three people were arrested.
The attack came after a period of relative calm in the West Bank, although there has been recurrent violence between the Israeli army and Palestinian protesters in the Gaza Strip in which at least 154 Palestinians have been killed since late March.
In a statement, Hamas praised the "courageous operation" in the West Bank without claiming responsibility for it.
"The West Bank is ready and able to avenge the blood of the martyrs," it said.
All Israeli settlement construction in the occupied West Bank is considered illegal by the international community.
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