Protesters and members of New York's City Council held a news conference in Zuccotti Park on Monday to complain about the arrests.
Police started detaining people after hundreds of activists gathered in the park on Saturday to mark the sixth-month birthday of the movement.
For the one-day strike in May, Occupy organizers across the country are encouraging supporters to stay out of work and school, and to refrain from spending money. In New York, a coalition of unions and worker justice groups plan to march through the city.
Mayor Michael Bloomberg says police were respectful of people's rights during the arrests. He said police have put up barricades around the park again because protesters were breaking park rules.
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