A foreign ministry spokesman said the "ball is in Pakistan's court" and the "immediate issue" was their response.
Indian troops killed six militants during a four-day battle at the base in Punjab, close to the Pakistan border.
Foreign secretaries of the two sides are due to hold peace talks next week.
Although India has not officially announced any dates, Indian media reports say the meeting is due to take place on 14-15 January in Islamabad.
The assault on the Pathankot base started on Saturday, when a group of gunmen - wearing Indian army uniforms - entered residential quarters on the air base.
Seven Indian troops and six militants were killed in the gun battle.
Hopes for Delhi-Islamabad detente were raised in late December after Indian Prime Minister Narendra Modi  paid an unexpected visit to his counterpart Nawaz Sharif  on his way back from Afghanistan and the two sides announced plans to resume peace talks.
But the attack has come as a blow to the peace initiative.
"Pathankot terror attack has put renewed focus on cross-border terrorism," Ministry of External Affairs spokesman Vikas Swarup told a press conference in Delhi on Thursday.
"The government's policy towards Pakistan is clear and consistent. India wants friendly relations with all its neighbours including Pakistan," he said, adding that "India will not tolerate cross-border terror".
On Tuesday, Mr Modi urged an "immediate" response to the Pathankot attack after Mr Sharif telephoned him to discuss the incident.
Mr Sharif promised that Pakistan would take "prompt and decisive action against the terrorists", Indian officials said.
India's Press Information Bureau said India had provided Pakistan with "specific and actionable" information on the attack.
Earlier in the week, the United Jihad Council - a coalition of more than a dozen militant groups fighting against Indian rule in Kashmir - claimed that its "national highway squad" was behind the attack.
The council, based in Pakistan-administered Kashmir, is headed by Syed Salahuddin who also leads Hizb-ul Mujahidin, the longest surviving Kashmiri militant group.
Some Indian security officials have suggested the Pakistan-based Islamist militant group Jaish-e-Mohammed was to blame. India says the group is backed by Pakistan, but Islamabad denies this.

The average fee for a fixed-rate mortgage is now more than £1,000 - the most expensive for four years, according to Moneyfacts.
The financial information service said that borrowers and lenders tended to focus on mortgage interest rates.
Rates are now among the lowest ever seen in the UK mortgage market.
However, Moneyfacts said that some borrowers would be better off by choosing a slightly higher rate with a lower fee, or no fee, when they remortgaged.
"Those savvy borrowers heeding the advice to remortgage could find that moving deals can be a costly affair, especially if their preference is for shorter-term fixed rates. Therefore, with fees on the rise, it is more important than ever for borrowers to consider the true cost of a mortgage before obtaining a deal," said Charlotte Nelson, of Moneyfacts.
"Deals with larger fees often allow you to add the fee to the mortgage advance, however, this increases the amount borrowed, pushing up monthly repayments.
"The extra saved by opting for a deal with no fee could be better used to overpay the mortgage, which could help borrowers become mortgage-free quicker."
Figures from HM Revenue and Customs (HMRC) show that, on a seasonally-adjusted basis, property transactions have generally been close to the 100,000 mark each month for the past three years.
This climate, in part, has resulted in lenders launching new products to try to attract new borrowers, often with very low rates.
Moneyfacts said that, for those with a £150,000 mortgage and repaying over 25 years, some deals with the lowest rates on the market have fees of around £2,000, with one as high as £4,000.
The average fee for these customers was now £1,018, compared with £986 a year ago, and £886 in July 2014.
India has said that planned talks with Pakistan would go ahead only if Islamabad took action against militants that Delhi said were behind the deadly assault on the Pathankot air base.
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Homeowners are making a "costly mistake" by turning a blind eye to additional fees when they remortgage, it has been claimed.