Dayton, Ohio Winter weather includes a couple of Spring snows, but the Winter fun started with the first significant snowfall of the season in Dayton, Wednesday, December 26, 2012, there's also sledding at Cleveland Park's hill & a walk around the area on Sunday, December 30th; and glimpses of Smithville Rd and Wayne Avenue on Friday, January 25, 2013. Spring snows happened on March 6th, 24th and 25th.