Your evening New Hampshire weather update Here comes a classic late May pattern across New Hampshire today, with temperatures climbing to a pleasant 69 degrees by late afternoon before a brief shower chance moves through around 5 P.M. This morning started off cool and crisp with temperatures in the low 50s, perfect for that morning walk or jog. As we move through the afternoon, you'll notice steady warming under partly cloudy skies, reaching that 69-degree mark around 5 P.M.