Tube Lines operations director Lee Jones said: "A strike on this issue is completely unnecessary and will not achieve anything.
"We urge the RMT leadership to end their strike threat and return to talks, as it will only be resolved through constructive discussion.
"The RMT's ballot showed that less than 44% of its members voted in favour of strike action. Any action would be by maintenance staff, not Tube drivers and station staff.
"Should a strike go ahead, we have plans in place which will enable London Underground to operate Tube services on all three lines and to minimise any disruption."
Bob Crow, the general secretary of the Rail Maritime and Transport Union, said: "RMT members have delivered a massive mandate for action following a straightforward demand for parity with other Tube staff.
"This dispute is about justice and about ensuring that all groups of staff under the umbrella of London Underground receive the same rights and benefits, and our members have no choice but to strike to secure those basic rights.
"We have gone through all the negotiating channels but Tube Lines has refused to budge and have refused to engage in meaningful talks and that pig-headed approach has raised the temperature on the shop floor and has resulted in this strike action being called.
"Former Metronet employees have been allowed back into the Transport for London (TfL) pension fund and now also have the same travel facilities as other LU employees.
"Tube Lines is now a wholly owned subsidiary of Transport for London and there is simply no excuse for refusing to give equal pension and pass rights.
"The union remains ready to talk, and the strong mandate for this industrial action shows Tube Lines and TfL the depth of anger there is over this blatant lack of fairness and justice."
Members of the RMT union had voted in favour of industrial action by four to one.
The row is over union demands for all Tube Lines staff to be allowed to join the Transport for London pension scheme and receive the same travel concessions as those who work for London Underground.
Workers on the Picadilly, Northern and Jubilee lines will go on strike next week in a dispute over pensions and benefits.
The Rail Maritime and Transport Union, which represents around 1,000 staff on the Tube Lines contracts, said its members would walk out from 4pm on Tuesday until the same time on Friday.
The dispute involves staff who work on maintaining and upgrading tube lines, including carrying out emergency repairs.
Union bosses said the strike would have a "widespread" impact on tube services across the network.