Members of the RMT Union, which represents a range of rail workers including guards, signalling staff and Network Rail engineering staff, will take action on Saturday (8 October).
As a result of the strikes, Heathrow warned customers that public transport to and from the airport will likely be disrupted for the duration.
A spokesperson said: "Please plan your journey in advance and ensure you leave enough time to get to the airport as roads may be busier than normal."
