Passenger numbers for the three months ending September 30 were a record 24.1 million, driving a load factor of 95.6%.
Passengers have benefitted from low summer fares across the network, easyJet said, particularly on beach markets from the UK.
The airline has also grown capacity by 8% in the final quarter compared to last year.
Headline cost per seat excluding fuel at constant currency is expected to increase by around 1% for the full year, in line with guidance.
EasyJet said it remained focused on cost however, and has continued to drive “structural improvements”, such as longer-term capacity-related deals with airports.
But exchange rate movements resulted “in a net adverse impact on the group”. Foreign exchange rate movements are now expected to have around a £100 million negative impact on headline profit before tax compared to last year.
EasyJet’s unit fuel bill for the financial year to 30 September 2017 is expected to decrease by between £230 million and £235 million compared to the financial year to 30 September 2016.
Looking ahead, easyJet said it continues to see the current market environment as an opportunity to build and strengthen its network.
It plans to grow capacity by around 6% for the financial year ending September 30 2018. While revenue momentum continues to improve, the airline expects continued pressure on yields due to a market capacity growth of 5%.
Carolyn McCall, easyJet chief executive, said: "EasyJet has finished the year with continued positive momentum delivering both a strong final quarter and a strong second half.
“Passenger numbers and load factor in the final quarter set new records and the second half profit was over £100 million higher than summer 2016.
“The market continues to be challenging and easyJet has had to absorb a significant currency impact of £100 million in the year.
“However, easyJet continues to operate Europe’s strongest network and the current turmoil in the sector provides easyJet with opportunities to capitalise on its strong customer proposition and grow and strengthen our positions in Europe’s leading airports still further.
“Our profit before tax outlook of £405 million to £410 million represents a good performance in a rapidly evolving and consolidating market.”