Ucas said 17,350 university and college places had been accepted by 17 and 18-year-olds, up from 16,650 last year.
However, the total number of applicants from Scotland who secured a place at university fell slightly from 31,970 last year to 31,850 this year as a result of a drop in mature student applications.
The number of young people from the most deprived areas who secured university or college places increased by more than 1,000, rising to 2,060.
Ucas said 3,660 students from overseas had been given places - an increase of 180 on last year.
Ahead of results day, Royal Mail had warned that deliveries of certificates to the Outer Hebrides, Orkney, Arran and Shetland could face delays due to weather disruption.
Despite some delays, most certificates were expected to be delivered on Tuesday.
SQA emails and texts were unaffected, though some pupils reported delays in receiving their digital results.
The SQA's Candidate Advice Line is open from 08:00 to 18:00 on Tuesday, then open between 08:30 and 17:00 from Wednesday to Friday.
Further advice can be found on the SQA website.
A Skills Development Scotland helpline will offer advice to anyone with questions about the next steps in their education.