United's Jadon Sancho scored in the 23rd Minute.
United outclassed Leicester in the first half, creating a host of chances.
In the second half, Leicester appeared to have started well, but could not find United's net.
United's latest Brazilian Signing, Casemiro, was introduced into the game in the second half, with Cristiano Ronaldo too coming in in the second half.
Ronaldo tried a somersult in the last moments that went a few inches from the goal post
Overall, Manchester United demonstrated an improved performance that saw them move to the 5th of the English Premier Table, in front of Liverpool, and behind behind leaders Arsenal, Man City, Tottenham and Brighton.