Helms blamed the calls, which gave a misleading offer of free solar panels, on another company that it had hired to make them. They were often repeated and offered no way of connecting to a person or opting out.
Under the law, companies must have people’s permission to make automated calls.
Steve Eckersley, head of enforcement at the ICO, said the company’s ignorance of the law was “beyond belief”.
"The monetary penalty is for a significant amount because of the clear failings of the company, and the number of people affected by its deliberate and unlawful campaign,” Eckersley said.
Helms is seeking legal action against the company it claims is responsible for the calls.