Around 300 engineering service workers were set to strike for two weeks from Wednesday of this week.
They are employed by lift firm Kone and service lifts and doors at sites including Gatwick and Heathrow airports.
The Unite union members are angry about tracking devices in their vehicles that monitor their workload—unreliably, according to the union.
It cites the example of a driver recorded as having driven 1,000 miles in one day without refuelling.
Unite wants the system to be used for safety rather than a “spy in the cab” to check timesheets.
Service drivers struck last Saturday and walked out at Gatwick and Heathrow on Tuesday of this week.
The main Kone sites are at Chertsey in Surrey, Gateshead, Glasgow, Keighley in Yorkshire and Warrington.