Boston weather June 1, 2022 4:49 pm Forecast: Cool and Wet Overnight Wednesday Night: Rain. Lows in the 50s. Thursday: Cloudy. Chance shower west and south with highs near 70. US & World Videos 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 3:45 Afternoon rains expected on Sunday 4:04 Afternoon clouds over the region on Saturday