The father, He Liesheng, 44, a Chinese businessman vacationing in New York last month, posted a video of his son, He Yide, begging him to pick him up, the New York Post reported.
Instead of taking his son inside, He urged him to run faster through the snow.
He said he is taking an "eagle dad" approach to raising his son, who was born prematurely with several health problems.
"When the old eagle teaches its young, it takes the young eagles to the cliffside, beats them, and pushes them to teach them to use their wings," He told a Chinese newspaper.
"I believe I am helping my son in this way -- to force him to challenge limitations and exceed his own expectations," He said.
Viewers of He's video have voiced concern about his parenting tactics.
"You are torturing your child," one viewer commented on the video.
"Why didn't you run with your son naked too?" said another.
Sign language interpreter at Mandela service called out as fake on Twitter
Police: Sword-wielding man demanded free tacos