"Everybody is expected to stay at home because the action involves not only the unions but also many civil society organisations," Kolawale said.
He was speaking after a meeting of leaders from the TUC and another umbrella labour organisation, the Nigeria Labour Congress (NLC).
Kolawale said representatives from more than 30 civil society groups also took part.
Nigeria's presidential vote in April was intended to showcase the country's transformation from a military-ruled dictatorship to a modern multi-party democracy.
Instead, after the vote, opposition parties accused the ruling party, whose candidate won, of rigging the vote, while international observers said that that result was "not credible".
Nigeria's National Labour Congress had already called for mass protests on May 1 and thousands of demonstrators gathered in the main cities, but the rallies were tightly controlled by security forces who arrested and fired tear gas at scores of activists.
Since then, popular protests have been muted.