A total of two million people have taken rides over the quarter-mile long track, which runs besides the Aberdeen-Dundee main line.
Now, a drop in passenger numbers have made the business unsustainable.
Owner, Mr John Kerr said: “Over the last five years, the numbers have dropped significantly, mainly because of the play area being relocated from 50m away from the railway to a new park 500m away.
"Since then, we have not been getting the trade.”
The miniature railway was founded by Matthew Kerr in 1934, and the family have said that they will keep the trains for possible use elsewhere.
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1. The mini trains
Scotland's oldest miniature railway, running the first train in West Links Park, Arbroath in 1935 is closing its doors for good on Sunday 11th October 2020 Photo: Lisa Ferguson
2. John Kerr with "Auld Reekie" steam locomotive 1935
John Kerr said : "Many of the parents and grandparents bringing their children along for their first ride on the wee railway, reminisce of the day their parents had brought them along as toddlers." Photo: Lisa Ferguson
3. All three trains
Heartened by this early success, Matthew snr. lifted all the track over the 1935/36 winter months and relaid it to a more ambitious plan which included longer platforms, more sidings, turntables, miniature signal box and a new booking office. His efforts were instantly rewarded by the passenger total jumping as word spread throughout Scotland and beyond. Photo: Lisa Ferguson
4. The train in action
The railway runs parallel to the Aberdeen-Dundee line. Picture: Kerr's Miniature Railway Photo: rail