Martin Johnson, aged 19, of Leighton Road, Gleadless, was charged this evening following the death of little Erin Emilia Rain Tomkins.
Detectives arrested Johnson on Monday after Erin was admitted to Sheffield Children's Hospital with suspected non-accidental injuries.
The toddler died on Tuesday just after 12.30am and a post-mortem examination revealed her cause of death was severe head injuries.
Police are urging members of the public to not post speculative content on social media as legal proceedings are active.
Detective Chief Inspector Steve Whittaker, the senior investigating officer, said: “My thoughts are with the family at this incredibly traumatic and difficult time and I would please ask their privacy is respected.
“I understand Erin’s death is highly emotive and people will naturally feel saddened at the tragic loss of such a young life.