The debate began after time-wasting tactics from the opposition and a snap debate on Fonterra's contamination crisis.
That dashed the government's hopes of passing it into law this week string embroidery.
Wednesday is for member's bills and the GCSB debate won't be resumed until Thursday - which means its final third reading stage can't take place until August 20 after a week's recess.
The bill gives the Government Communications Security Service legal authority to spy on New Zealanders on behalf of the Security Intelligence Service and the police, when they have warrants.
It had been doing that for decades until it was discovered last year that a clause in its legislation which forbids it to spy on citizens or residents.
The government says it is simply fixing up flawed legislation passed by the previous Labour government, but opposition parties say the bill expands the GCSB's powers.
Labour MPs kicked off the committee stage debate with renewed demands for an independent review of all the security services and said the bill was a band-aid solution.
"It gives the GCSB much greater powers, case for samsung galaxy the definition of `communications infrastructure' is so broad it covers everything," said Labour's deputy leader Grant Robertson.
"New Zealanders don't want this bill, they want their privacy protected."
Government MPs accused Labour of playing politics at the expense of national security.
Labour, the Greens and NZ First have tabled dozens of amendments which will delay the bill again when it comes up on Thursday.
"We'd like to filibuster this all the way to the next election," NZ First leader Winston Peters said.
"The public is on our side nu skin hk, this is an invasion of their civil liberties."