The proposed cuts would halve the workforce at the company, which was acquired by Czech multimedia business GZ Digital Media in March last year.
Gavin Letham, chief executive at Thomson Litho, said: "It is with regret that we have announced a number of redundancies at our East Kilbride site.
"Current market conditions are difficult and as such we need to take measures in order that we can secure the viability and future of the site," he told East Kilbride News.
The company was founded by the late former Motherwell FC captain Matt Thomson. and had worked with £50m-turnover GZ, which specialises in CD, DVD and vinyl replication, prior to its acquisition in 2010.
For the year ending 30 June 2009, Thomson's turnover was down nearly £5m on the previous year to £14m. The company cited the "global economic downturn" for the drop in sales.
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