Island Weather ENJOY the LIVE VIEW of Nantucket Harbor! From the Nantucket Whaling Museum Roofwalk, Nantucket Historical Association. Sunday 12/09 0% Partly Cloudy Partly cloudy. Lows overnight in the low 30s. Monday 12/10 0% Partly Cloudy Intervals of clouds and sunshine. High 39F. Winds N at 10 to 20 mph. Tuesday 12/11 0% Partly Cloudy Partly cloudy skies in the morning will give way to cloudy skies during the afternoon. High 38F. Winds ENE at 5 to 10 mph.