The structures are up to 40-storeys in height and are situated just a few metres away from the London Victoria line.
The job has helped boost Coleman & Company’s forward order book to more than £12m.
Managing Director Mark Coleman said: “In recent years we have focused on developing some unique skills to tackle the most challenging demolition tasks.
“With the property sector having such a tough time in recent years, we knew that we had to go the extra mile and offer something special to win significant projects like the Battersea one.
“It also means that although our revenue did dip, that our profit margin remained healthy due to the challenging contracts we secured.”
The Battersea project starts later in the year and will take over 12 months to complete.