Scuffles have erupted in the past week as Israeli settlers held protests and tried to block building inspectors from entering their communities to enforce the new rules.
But, on the basis of the official figures, Peace Now said "the settler's claims of discrimination and attempts to 'dry out' the settlements have no basis in reality".
"Even during the freeze a larger number of housing units than the national average will be built in the occupied territories," it said.
Israeli politicians and media have been referring to the restrictions as a "freeze", although Palestinians say they are far from the total building halt, including in East Jerusalem, that they have demanded.
Settler groups have begun to arrive for a rally outside Mr Netanyahu's residence in Jerusalem on Wednesday to protest against the curbs.
The BBC's Paul Wood in Jerusalem says the settlers feel betrayed by a government they thought was on their side.
Israel could just be acting tactically, trying to make the Palestinians look like the roadblock to negotiations, our correspondent says.
But even so, he adds, the Israeli government may have to choose between peace with the Palestinians or peace with the settlers.
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