Children were at the heart of both events, with members of the Becoming a Man program joining the father's day lunch, and the Fever team running a basketball clinic for youngsters on the South Lawn.
However, one young guest looked distinctly underwhelmed by his encounter with the President.
Where's my dad? The child appeared underwhemed at being held by the most powerful man in the world
Team work: President Obama welcomes WNBA champions Indiana Fever to the White House
While the baby's father looked delighted at his son's big moment with the Commander in Chief, the little boy seemed unfazed by the fuss.
The President told the specially selected gathering at the luncheon that being a father is the best job he's got.
He also had fatherly words of encouragement for the winners of the WNBA, who turned around their fortunes in the final to go from underdog to champions at the end of last year.
Praise: President Obama thanks the Indiana Fever team for volunteering to help children read and stay active
Holding the baby: President Obama playfully posed with a young child at a father's day lunch at the White House
The President also praised the team for being such good role models to young athletes, including his daughter Sasha's team, which he sometimes coaches, Fox Sports reported.
'For her to have wonderful role models like this, who work hard and know how to play like a team, are incredibly poised, are competitors but also show good sportsmanship, that's the kind of models you want for your children,' he said.
After meeting the President, the team, who take part in several charity projects such as helping children read, held a basketball clinic on the South Lawn for youngsters in Washington DC.
At the Father's Day luncheon, President Obama had a message closer to home, telling the guests Sunday's celebration was the perfect time for fathers to remember how lucky they are.
Fathers and their children, along with students and leaders from the Becoming a Man program at Chicago's Hyde Park Academy were among those treated to burgers, fries and lemonade in the State Dining Room. President Obama spoke at the school in February.
Obama hosted fathers and their children as well
as students and leaders from the Becoming a Man program at Hyde Park
Academy in Chicago
Get to the point: The Father's Day luncheon to celebrate the importance of strong families and mentorship
Father's Day is Sunday. Obama leaves that night on a three-day trip to Northern Ireland and Germany, giving him a bit of time to enjoy the celebration with daughters Malia, 14, and Sasha,12.