Boston June 1, 2021 11:23 pm Weather Forecast: Highs Around 80 Tuesday night: Clearing. Lows in the 50s. Wednesday: Morning sun fades behind clouds. Highs near 80. US & World Videos 2:18 Weather forecast: Sunny and mild 3:19 Partly cloudy, high temps reach near 70 2:44 It's a cloudy but warm day in Boston 2:53 Monday starts off cloudy with lingering rain 3:45 Forecast: Showers, areas of fog