He said efforts by the Election Commission to hold registrations were blocked by anti-government protesters in just five provinces: Krabi, Phuket, Phatthalung, Surat Thani and Nakhon Si Thammarat. All are in southern Thailand, the stronghold of the Democrat Party, which is boycotting the vote.
Mr Varathep said members from a total of 53 political parties had participated in the first day of registration to run for constituency seats.
"After today, the Pheu Thai Party is confident that the Feb 2 poll will not be postponed," he said.
He said Election Commission offices in the five southern provinces could request assistance from the police and army if they continued to face obstacles by protesters. He expressed confidence that registration eventually would be able to take place in all provinces.
Registration of constituency candidates is scheduled to run until Wednesday. Registration
Mr Varathep also said work was continuing to refine details of caretaker Prime Minister Yingluck Shinawatra's proposal for a national reform council proposal.
He said various organisations had suggested some modifications be made to the draft, which would be revealed to the public before Feb 2.
Ms Yingluck has pledged that the reform council would not be an instrument of the government, but that its recommendations would be acted on by whichever group forms the government after the Feb 2 poll.
However, anti-government groups have rejected the council proposal as a publicity stunt. They continue to insist that the caretaker government must step down and the Feb 2 poll must be cancelled so that a real reform effort can start.
Mr Varathep also lashed out at the Democrat Party's decision to not participate in the election, saying that not accepting the poll as required by democracy makes the party illegitimate, hence not qualified to lead a reform movement.