Ambulance staff dealt with 2,184 calls between 19:00 on Hogmanay and 07:00 on New Year's Day.
Additional crews, call handlers and dispatchers were on duty. The busiest time was from 01:00 to 04:00, with 739 calls.
The new year total was 35 higher than the previous year. The Christmas period, from 23 to 27 December, saw a 10% increase on 2015.
Scottish Ambulance Service chief executive Pauline Howie said: "The overall level of demand for our service over the festive period has exceeded previous years and Hogmanay was one of our busiest nights of the year."

Stephen Dodd tweeted an image of solicitors Asif Bodi and Abubakar Bhula on prayer mats in a stairwell.
He captioned the tweet: "Muslims praying at half time at the match yesterday. Disgrace."
The Premier League club reported the tweet to Merseyside Police following a number of complaints.
A number of social media users shared the photograph, taken during Liverpool's FA Cup quarter-final against Blackburn on 8 March.
In a statement it said police had now referred the issue back to the club, which was "currently in the process of determining the appropriate action to take".
It added:  "Liverpool Football Club would like to remind its supporters that it does not tolerate any form of discrimination and is committed to ensuring that the club and Anfield provides a welcoming and safe environment for all fans regardless of race, religion, gender, age, disability or sexual orientation."
The club said a further statement would be made in due course.
Speaking last month, Mr Bodi, 46, from Preston, told the Liverpool Echo: "We have a small window in which to pray, a bit like the transfer window in football. Once that closes the chance has gone.
"That day, the time came for prayer and the window would have closed before the game finished so we did it at half-time.
"Most people are absolutely fine with it...but it only takes one or two people to react in the wrong way and you could have a nasty situation."

Emergency services were called to the fire in Insch just after midnight when a local resident noticed smoke emerging from a property in High Street.
The Scottish Fire and Rescue Service said the blaze had breached the roof of the building.
Residents in nearby flats were evacuated to a community centre but there were no casualties.
Six fire engines from nearby towns, including a height appliance from Aberdeen, were sent to tackle the fire.
Crews, including four firefighters wearing breathing apparatus, used water jets to douse the flames.
The fire service said the blaze was finally extinguished at 02:23 but they remained on the scene for several hours.
They added that an investigation will be carried out in due course.

The League Two club applied to build an 11,000-seater stadium - that could be expanded to hold 20,000 - on the site of Wimbledon greyhound stadium.
Merton Borough Council had recommended it for approval and councillors unanimously approved the plans.
The original Wimbledon club left Plough Lane in 1991 because of legislation requiring all-seater stadiums.
Wimbledon FC, as it was known then, shared Crystal Palace's Selhurst Park until 2003 when it was given permission to relocate about 70 miles (112km) north to Milton Keynes and was later renamed MK Dons.
Many fans protested against the move and decided to form AFC Wimbledon as a non-League club.
The side rose back to league status and currently plays at Kingsmeadow in Kingston upon Thames,
The AFC Wimbledon Supporters Trust has agreed to sell its lease at Kingsmeadow to Premier League Chelsea to help fund the new stadium.
The Plough Lane planning application that has been approved also includes 602 residential units, along with retail and commercial space and a leisure club.
AFC Wimbledon's chief executive Erik Samuelson said in a message on the supporters' trust website: "This is an important step in a journey we started some years ago.
"We have a long way to go and many major hurdles to clear but we want to build a stadium that is embedded in the community and operate it in an inclusive way."
The Greyhound Board of Great Britain, which grants greyhound racing licenses, said it was worried about the future of the sport in London if the Wimbledon track goes.
A spokesman said: "Wimbledon is the last track within the M25 and we think it is important there is a track here in London, because greyhound racing is still the fifth most popular sport in this country."
The Scottish Ambulance Service had a busier Hogmanay than last year.
[NEXT_CONCEPT]
Liverpool FC is considering what action to take against a supporter who branded two Muslim fans "a disgrace" for praying during half-time at a match.
[NEXT_CONCEPT]
Residents were evacuated from their homes in an Aberdeenshire town after a blaze broke out in a nearby bank.
[NEXT_CONCEPT]
AFC Wimbledon has been given permission to build a new stadium close to its spiritual home in Plough Lane.