The company said it had to carry out the collective layoff for unspecified organizational, productive and economic reasons, CCOO said.
The company has 91 stores and employs 4,000 people in Spain and will close 28, the CCOO said.
Negotiations with the unions are due to start in September, it added.
"We believe the measure is too aggressive and it is possible to look for solutions which doesn't imply job lossses," the union said.
H&M is the world's second largest listed clothing retailer behind Spain-based Zara-owner Inditex and is a fixture in malls and high streets the world over.
H&M did not immediately respond to a request for comment.
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