Prescription medication was stolen from a house in Drumlanrig Square, Hawick during a break-in between Monday afternoon and Tuesday evening, May 27 and 28.
Electrical items and clothing were also taken, and police have appealed for witnesses.
They have also issued a warning to the public following the theft.
A Police Scotland spokesman said: “The medication which was stolen is an anti-depressant and can make the person who consumes it feel sleepy or sedated. However, if used by anyone other than the intended recipient, it can have more dangerous health implications.
“Anyone who comes across this medication is asked to hand it in to their local police station immediately.”
Anyone with information can contact Police Scotland on 101 or alternatively Crimestoppers on 0800 555 111.