Ben Gilkes, 25, of Stratford Road, Sparkhill, will appear at Birmingham Magistrates Court, West Midlands Police said.
A man was arrested on Friday after the child was taken to Birmingham Children's Hospital with serious head injuries, police said.
The baby remains seriously ill since the assault in Hall Green on Friday, they added.

United ended a run of four derby defeats with a convincing 4-2 win at Old Trafford that left City with their sixth loss in their last eight games.
Pellegrini, 61, said: "It is my responsibility and the only way we can change this is by winning games.
"I am not talking about my position. It is not important."
City won the Premier League title last season and were level on points with leaders Chelsea in January, nine points above rivals United.
But they are now four points below United in fourth and face being dragged into a fight to secure Champions League football next season as Liverpool could close the gap to just four points with victory against Newcastle United at Anfield on Monday.
Pellegrini added: "The only way to explain our run is that we don't have the results. We lost many points, not only in this game which was a very difficult one, but in others too.
"We played very well for 20 minutes but we must not play just for 20 minutes, we must play for the whole game in the same way.
"We are concerned but now we must try to win the next game at home to West Ham. We have been first or second the whole year and now we are fourth but United and Arsenal have to play against Chelsea. We have 18 more points to play for. We must not be dramatic."
City faded after taking the early lead through Sergio Aguero and Pellegrini conceded that United's stirring comeback may have affected his team's fragile spirit.
"Maybe it is something we can be concerned by," he said. "It is easy when you are two goals in front to play with more trust than the team that is two goals behind.
"We made important mistakes for the second goal and the third was offside but the result was a fair one."

Tens of thousands of Wales supporters travelled to France in the summer to see their side progress to the tournament's semi finals.
They were branded "the red wall" by the Wales players.
Uefa's executive committee has also recognised supporters from Iceland, Republic of Ireland and Northern Ireland.
The announcement coincides with Wales rising to 10th in the Fifa world rankings.

The 52-year-old is returning to Formula 1 from his position as technical boss of Audi's World Endurance Championship programme, which ends this season.
Swiss Zander previously worked for Sauber between 2006 and 2007, and has held senior design positions in a number of other F1 teams.
His most recent F1 role was as deputy technical director of the title-winning Brawn team in 2009.
He also previously worked for Honda, Williams and BAR.
Sauber have faced financial problems in recent years and are currently last of the 11 teams in this year's world championship.
But the Swiss team have hopes of moving up the grid next season following their takeover earlier this year by a Swiss finance group called Longbow.
Zander said: "One of my tasks will be to define a stable and efficient technical organisation that evolves the potential of creativity and, therefore, the basis for the development of successful Formula 1 cars.
"Initially we obviously want to improve and establish ourselves as a team in the mid-field. It is a challenge which I await with excitement and enthusiasm."
Team principal Monisha Kaltenborn said: "This is a very important step in order to guide the team into a new and successful era.
"Zander fits well into our team. He has a lot of know-how in Formula 1, as well as in motorsport in general.
"In our factory in Hinwil, he will have the possibilities to work technically at a very high level. We are convinced we will make progress with him."
Zander joined Audi in 2010 and led the team to five consecutive wins in the Le Mans 24 Hours from 2010-14.
A man is due in court charged with an assault on a four-week-old baby boy.
[NEXT_CONCEPT]
Manchester City manager Manuel Pellegrini took full responsibility for his side's alarming slump but refused to discuss his long-term future.
[NEXT_CONCEPT]
Wales football fans have been given an "outstanding contribution" award from Uefa for their part at Euro 2016.
[NEXT_CONCEPT]
Sauber have appointed Jorg Zander as their new technical director.