Benedict Nagle, 19, gave some of the Six Nations tickets to friends but others were never used.
At Edinburgh Sheriff Court fiscal depute Aidan Higgins said the tickets were for games Scotland were playing against Wales, Italy and Ireland.
In total 20 of the 60 tickets were stolen for each game.
Mr Higgins said:
"He was employed at a sorting centre at Sighthill and the package containing the rugby tickets caught his eye and he took the package.
"He gifted 18 tickets to persons who had been generous to him in the recent past.
"The other 42 remained in his possession and simply expired."
The court heard the client, Miller Group, first thought the tickets had gone missing in its offices. But Nagle was caught when the tickets were used at games and were traced in the system.
The teenager admitted stealing the tickets at the Royal Mail sorting office at Sighthill, Edinburgh, on January 22 last year.