Pictures of the baby have caused outrage after they were posted online.
The little girl can be seen apparently holding the cigarette in her mouth, with a man’s hand, reportedly her father’s, holding it in place.
The child is said to be from a family of Roma nationality who live in Lom, a town located in north-western Bulgaria.
A caption above the picture, believed to have been written by her dad, says that he ‘feels loved’.
The picture sparked dozens of comments from people claiming they would report the man to social services over his posts.
A woman called Vaneta wrote: ‘Please help me! Where do I report this? This is not normal!’
Another named as ‘Mara’ added: ‘OMG! Poor children!’, while someone else wrote: ‘They should not be parents.’
The image has since been removed from the man’s social media account but people were quick to notice more pictures of children ‘smoking’ on his profile.
In another picture, a young boy stands proudly in a leather jacket while holding a cigarette in his mouth.
Another shows the same boy posing with a cigarette held in his mouth, sat on the knee of a woman who is also smoking.
It is not known whether the woman is the boy’s mother.
A third picture on the account shows the same young boy kissing another woman on the lips.
All these pictures have since been removed.