FPUS42 KJAX 291455 City Forecast for Jacksonville, FL Issued Tuesday morning - Nov 29, 2016 .Tuesday... Partly cloudy, high 84, 10% chance of precipitation. .Tuesday night... Low 66, 5% chance of precipitation. .Wednesday... Partly cloudy, high 84, 10% chance of precipitation. .Wednesday night... Low 63. .Thursday... High 72.