AAH Pharmaceuticals was broken in to during the early hours of Monday morning.
A small number of tablets, believed to be linked to the burglary, were later found in nearby Orby Close.
Police have advised the public to only use medicine from healthcare professionals.
The Health and Social Care Board (HSCB) said "there is always the potential for drugs such as benzodiazepines to be misused or abused".
Det Sgt Michael Hawthorne said: "I would also urge the public to be vigilant and to ensure that they do not put their health at risk by purchasing medication from an illicit source.
"People should only take medicines in consultation with their healthcare professionals who have access to patient health records, who are qualified to assess their medical needs and can take into account the risks and benefits associated with every medicine."
He added: "I would also ask the public if they are offered any medicines from an unregulated source to report it to the police on the non-emergency number 101."
Kathryn Turner, Pharmacy Lead at the HSCB said:
"Some patients may obtain these drugs illicitly and take them for effects such as amnesia or to lose inhibitions. They often take them with other drugs including alcohol, and at very high doses. This is very dangerous and can cause loss of consciousness, breathing to stop and can even lead to death.
"We are also aware of the various ways that prescription drugs are being diverted from the legally prescribed and supplied routes and are working closely with regulators and the police to take action where there is evidence of diversion.
"We are advising that such medicines are only taken as prescribed by a medical practitioner and when sourced from the legitimate supply chain.  Any suspicious activity in respect of the supply of such medicines should be reported to the police."

This afternoon, the Labour leader returned to the stage - in shirt sleeves this time - to face questions from his audience.
One introduced herself: "Christina Rees, newly-elected Labour councillor for Bridgend."
So far so good. But then it got trickier.
"And you haven't kissed me, Ed, but you kissed Barbara yesterday and I'm extremely jealous," joked Christina.
A look of mock alarm came over the leader's face as he assured delegates: "Don't get the wrong idea by the way."
Christina told her leader how Labour had won a by-election in Bettws: "The Tories only got 12 votes!"
Ed Miliband started to look concerned: "Don't give us all the Bridgend results because we might be here....."
He cut swiftly to his next questioner - Barbara Jones, from Caerphilly, who introduced herself thus: "I am the lucky one that got the kiss yesterday and I've had so many texts you wouldn't believe it."
Had he not been wearing television make-up, Ed Miliband surely would have blushed. Instead, he briefly referred to delegates as "comrades" for the first time, while imploring Barbara to move on.
Barbara moved on, but 24 hours into the era of "one nation Labour" the leader has discovered that you can't please all the people all the time.
A large quantity of Diazepam tablets have been stolen from a pharmaceutical firm on the Prince Regent Road in east Belfast.
[NEXT_CONCEPT]
Ed Miliband may have wowed delegates with his "look - no notes" speech to the Labour conference but not everyone is going home happy.