SIPTU has said workers in six grades at Dublin Bus have accepted the Labour Court proposals that will change the terms of their employment.
The union said workers in clerical, craft, operative, engineering supervisor, inspector and executive grades accepted the proposals.
Drivers rejected the proposals last week following the talks at the Labour Court.
The drivers staged a three-day strike at the start of the month in protest at the company's cost-cutting plans.
SIPTU's John Murphy said: "It is clear from today's result that some progress was made in the recent Labour Court talks.
"SIPTU representatives are available to meet with the management of Dublin Bus in the hope of resolving matters still in dispute in the driver grade."
Dublin Bus said its plans will save the company €11.7m.