The image of the couple embracing and smiling, which has the caption ''Four more years'', was posted after Obama's election victory, and has accumulated more than three million Likes.
According to the Telegraph, it has also been shared over 350,000 times.
More than 144,000 people have commented on the photo, largely congratulating Obama on his victory, the paper said.
The picture was also tweeted, and went on to become the most popular tweet in the history of twitter.
According to the paper, the picture has so far been retweeted over 630,000 times and favourited more than 213,000 times.
Also, Obama's tweet proclaiming 'four more years' has become the most popular post on the micro blogging platform ever.
The post had 507,745 retweets and had been favourited 173,028 times.