The group marched to City Hall and started circling City Hall Park.
Some protestors are walking through the streets of Lower Manhattan blocking traffic.
Police officers were trying to keep the group on the sidewalks as they marched, but some broke away.
There are reports of arrests.
They happened at Broadway near Barclay Street.
ABC News reports that police on the whole are exhibiting restraint even with significant instances of demonstrators taunting cops and attempting to get them agitated.
Earlier, Occupy Wall Street protesters held a speak-out and march in New York City targeting the health insurance industry.
Several hundred protesters marched Wednesday to the offices at Empire Blue Cross/Blue Shield, located near the movement's encampment in Zuccotti Park where they demanded health care for all. They also targeted other health insurance companies.
The march ended at the now-closed St. Vincent's Hospital in Greenwich Village, where they called for the hospital's reopening.
The Catholic-affiliated hospital filed for bankruptcy before closing in April, citing a $1 billion debt. It was sold to a developer who plans to turn it into a walk-in emergency facility and hundreds of luxury apartments.
(The Associated Press contributed to this report)
