Southwark Crown Court heard that Laco had been contracted by CMF to work on the project.
He was fatally crushed on 6 November 2013 by a concrete staircase that was in the process of being installed.
An HSE investigation found there was no safe system of work in place for the installation of the staircases throughout the project.
It was also found the company failed to appropriately supervise this work activity.
CMF Ltd of Feltham, Middlesex pleaded guilty to safety breaches and was fined £185,000 and ordered to pay costs of £20,606.14.
Speaking after the hearing HSE inspector Stephen Farthing said: “This incident could have been prevented if the company had properly planned the lifting process before work had begun.
“Duty holders have the responsibility of ensuring that safe and suitable lifting plans are in place before carrying out any work involved with heavy loads.”