Scaramucci, 53, put in his papers just hours after General Kelly (retired) was sworn by Trump as the new White House Chief of Staff.
Spicer told the president he vehemently disagreed with his choice for a new WH communication director.
Spicer will continue to be in his position through August.
The latest shakeup of the White House leadership comes as the feud between Priebus and the new Communication Director Anthony Scaramucci went nasty over the past few days, hogging the media limelight.
What's hot? What's not? What's next? C P Gurnani shares his highlights of the World Economic Forum Annual Summit in Davos.
The announcement of her resignation came a day after she testified before the House Intelligence Committee on allegations related to the Russian interference during the 2016 presidential campaign.
Tillerson said he hoped that at some point the North Koreans will begin to understand that the US would like to sit and have a dialogue with them.