The man, named as 31-year-old Daniel Hurley, was crushed by a steel-framed building as it collapsed at around 0835 this morning, according to Strathclyde Police.
Emergency services arrived and transferred Hurley to Glasgow Wester Infirmary but he died on arrival.
Police said that a post mortem examination would take place "in due course" to establish the exact cause of death. In the meantime a report has been submitted to the Procurator Fiscal and the Health and Safety Executive (HSE) will carry out a full enquiry.
Hurley's relatives have been informed of the accident.
Glasgow-based Morris & Spottiswood is currently building 140 new homes at the site, as part of a ВЈ17m for Queens Cross Housing Association.ADVERTISEMENT
The scheme will see the construction of 32 four-storey flats for rent, scheduled to be completed by the summer 2010.
A Morris & Spottiswood spokeswoman confirmed that the accident had taken place at the site. The company is set to release a statement.
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