It is expected to reopen at 10pm.
From 2pm diversion signs will be operating for high-sided vehicles.
When the road reopens at 10pm these signs will again be operational until midnight.
It is the second time this week that roads around the landmark skyscraper have been closed. The area is known to be susceptible to very high winds.
Leeds City Council will continue to monitor the wind conditions and further updates will be issued as necessary.
Background information about the specifics of the closures can be found here: http://www.leeds.gov.uk/residents/Pages/BridgewaterPlace.aspx