March 10, 2020 7:33 am Forecast: Ocean Air Has Cooled Boston Tuesday: Mild, limited sun to clouds, sprinkles. Highs in the 60s. Tuesday Night: Passing showers through midnight. Lows in the 40s. Wednesday: Sun and clouds. Highs in the 50s. US & World Videos 2:29 Weather forecast: Partly cloudy with highs in 60s 3:19 May 1 may be cloudy, but we have optimism for the rest of Boston's forecast 3:41 Sun will slowly chew away at the cloud cover this afternoon 2:38 Boston will see some sunshine in the afternoon 2:39 Weather forecast: Scattered morning rain, with steady temps