Anthony Mazza, 40, was accused of injuring two Port Authority officers during the chase from New Jersey.
The replacement of the bridge's upper deck will close a lane starting Saturday until 2017, the MTA said.
Timothy Isaksen, 26, and Anthony Mazza, 40, were arrested Tuesday after the chase, prosecutors said.
Officer Thomas Choi, 62, died on Monday from the injuries he sustained in Oct. 2013.
The project to rebuild the toll plaza on the bridge aimed to improve traffic flow.
Right of Way flew a banner that called for a bike path on the Verrazano during its 50th anniversary.
The cash toll for the bridge could go up from $15 to $16.
Saturday's rally will press the MTA to add funds for a pedestrian path into its capital plan.
The proposed capital plan allocated $372 million total in improvements to the line.
The exhibit chronicles the construction of four sections of the bridge, which opened on Nov. 21, 1964.
The Stop Mass Incarceration Network's march was canceled as organizers head to Missouri.
The Verrazano-Narrows Bridge toll might go up by 4 percent in 2017.
Brian Helfer stabbed his wife Ana Helfer in the torso before jumping off the bridge, police said.
Tyrell Brown's crime spree left two dead, prosecutors said.
Tyrell Brown's crime spree ended after he tried to steal a stick shift car, police said.
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