The six-month work order is worth A$670,000 (US$473,000).
Under the contract, Babylon will supply and install power generation and dewatering pumping equipment at BHP sites in Western Australia.
Babylon is set to start work straight away, with commissioning scheduled for November.
The company told the Australian Securities Exchange it was optimistic the existing contract would be extended on a rolling basis at the end of the initial six-month term.