This was reached just six weeks after the firm was awarded the contract for the centre, which has an annual footfall of 14 million.
The centre's recycling rate has increased to 97 per cent from just 9 per cent previously.
This has saved costs by more than 50 per cent per month, said Shanks.
Before the contract, only glass and cardboard were recycled.
Now, Shanks recycles on average 60 tonnes of waste a month.
The general waste is processed at Shanks' recycling facility at Blochairn, Glasgow, while organic waste at its anaerobic digestion plant at Cumbernauld, where it is converted into biogas and a soil conditioner.
The remaining three per cent which cannot be recycled is sent for energy recovery.
The UK managing director of Shanks said: "We are delighted with the speed of progress made at Silverburn.
"At Shanks, our focus is on ensuring that the maximum amount of waste can be recycled or recovered as clean energy.
"Achieving zero-waste in just six weeks is fantastic, particularly given the shopping centre's size. Importantly, this achievement shows that zero waste is a very realistic goal for any organisation."