The British agency also recommended that the FAA check the Honeywell systems on other types of airplanes.
Boeing said Thursday that it would abide by the British regulators' recommendations.
“The safety of passengers and crew members who fly aboard Boeing airplanes is our highest priority," Boeing said in statement.
"As a party to the investigation, Boeing supports the two recommendations from the AAIB, which we think are reasonable precautionary measures to take as the investigation proceeds" the company continued. "We are working proactively to support the regulatory authorities in taking appropriate action in response to these recommendations, in coordination with our customers, suppliers, and other commercial airplane manufacturers.
Boeing said despite the Heathrow fire, it was "confident the 787 is safe and we stand behind its overall integrity.”
The London incident was the latest in a line of problems that have plagued the 787 since it was first introduced.
The airplane was grounded for three months by the FAA and other international aviation agencies after a series of battery failures earlier this year, including one that sparked an electrical fire.
British officials quickly ruled out the Dreamliner's lithium-ion batteries as the cause of the Heathrow fire.
Prior to the Dreamliner's initial grounding, the airplane was touted as revolutionary, in part because of its use of lithium-ion batteries to reduce energy consumption during flights.
No passengers were on board the Dreamliner when it caught fire at Heathrow airport last week.
The airplane had been parked there for multiple hours before the incident.