This was to decide if the stoppage will continue.
NUM's Northam branch chairman Joseph Moloko told Reuters the meeting would begin at 1200 GMT. The company said on Wednesday the workers could face dismissal if they did not return to work and served the union with a court order to stop the strike.
(READ MORE: S.Africa's Northam Platinum says wildcat strike hits Zondereinde mine)
The strike began on Tuesday night when over 5,000 workers downed tools at Northam's Zondereinde mine demanding the removal of chief executive Paul Dunne for what the union alleges is unfair hiring and firing practices.
Moloko said the union would study the court order with members and respond by the required date of 19 January.
The wider platinum industry is still recovering from a sometimes violent five-month strike last year by NUM's arch rival AMCU, which hit [DATA AMS:Anglo American Platinum], [DATA IMP:Impala Platinum] and [DATA LON:Lonmin], the world's top producers.