Tuesday NJ weather: Lots of ‘ups’ and ‘downs’ this week Tuesday will be brighter and slightly warmer than Monday. Wednesday will be hot and potentially stormy. Thursday looks beautiful. Tuesday As I was sitting outside at my son’s baseball practice Monday afternoon, I noted how it felt like a cool, breezy autumn day. Tuesday will be brighter and better. We’re starting the day with typical late May low temperatures, averaging mid 50s across the state. Highs should reach the 70-degree mark by Tuesday afternoon. That’s still about 5 degrees below normal for this time of year - but at least humidity levels will stay nice and low too.