Thailand is facing increasingly violent protests, with two killed and dozens injured in recent days.
On Thursday, the Electoral Commission said the polls should be postponed to ensure the safety of candidates.
However, government officials said parliament was already dissolved so there was no legal reason for a delay.
Fighting broke out on Thursday at a stadium where election candidates were being registered.
A group of protesters, some throwing stones and evidently some who were armed, tried to break into the stadium.
One police officer and one protester were killed in the clashes.
Deputy PM Surapong Tovichakchaikul said the government would ask the army to help secure candidate registrations on Saturday.
“I will also ask the military to provide security protection for members of the public on the 2 February elections,” he added in a televised address.
Speaking to reporters on Friday, Thai army chief Prayuth Chan-ocha did not address the government’s request.
Instead, he urged restraint on both sides and an end to street violence and said the army had shown “red traffic lights to both sides so things will calm down”.
When asked if the army would intervene, Prayuth Chan-ocha said: “That door is neither open nor closed.”
The army, which mounted a successful coup only seven years ago, remains a powerful player in Thai politics.
The army has staged several coups in the past, and ousted former PM Thaksin Shinawatra, who is also brother to current premier Yingluck Shinawatra, in 2006.
Yingluck Shinawatra called the snap election earlier this month, following weeks of protests.
However, the opposition Democrat party is boycotting the polls.
Yingluck Shinawatra’s Pheu Thai Party won the last election in 2011 and has a big majority in parliament.
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