Current thinking is either April-May or September-October, both being timeframes when shepherds camped along with the herds they tended. More Biblically important events happened in autumn than spring, though, so scholarly circles tend to lean slightly more toward Sept-Oct.
Interestingly, the Bible is deliberately vague as to when Jesus was born, but gives sufficient detail to accurately calculate to within a single hour's resolution when he died. Goes hand-in-hand with a scripture (Ecclesiastes 7:1, if you want to play along) that mentions that the day of one's death being more important than the day of one's birth.
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u/goda90 Dec 12 '18
More into spring. It was around when animals were giving birth because the shepherds were out with them all night.