Of the new homes, 400 will be in Israeli-annexed east Jerusalem with the rest elsewhere in the occupied West Bank, the online edition of Haaretz newspaper reported.
"I congratulate the decision to give a proper Zionist response to the establishment of the Palestinian terror cabinet," the paper quoted Ariel as saying.
"The right and duty of the state of Israel to build across the country to lower the housing prices is unquestionable, and I believe these tenders are just the beginning," said the minister, who is a member of the far-right Jewish Home party which opposes a Palestinian state.
On a lightning visit to Israel's northern neighbour Lebanon on yesterday, Secretary of State John Kerry defended the US decision.
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He said it did not contradict longstanding US and European Union policy that bars all dealings with any Palestinian government involving Hamas until the Islamist movement renounces violence and recognises Israel and past peace deals.
Kerry said Abbas had "made clear that this new technocratic government is committed to the principles of non-violence, negotiations, recognising the state of Israel, acceptance of the previous agreements".
The row over the new Palestinian government is further testing the once sacrosanct relationship between Israel and the United States, already strained by the collapse of US-brokered peace talks.
Kerry, who invested huge political capital in the abortive negotiations, said Israel's persistent drive to expand the settlements played a major role in their failure.
The latest expansion announcement came as Palestinians marked the Naksa, or setback, when Israel seized the West Bank in the Six-Day War of 1967, displacing hundreds of thousands of people.