Albania initially brought difficulties for England, but captain Kane contributed his country's 33rd goal in the 38th minute and it was easy after that.
They scored six points in two games before wednesday's home clash at Wembley against Poland, the group's strongest rival, to top the table. After beating Andorra in mid-week last week, Albania scored three points.
"Maybe we started a little slowly, but we changed formations in the middle of the first half.
'It was great to reach the goal before half-time and we had good control of the second half.
England encountered some difficulties early in the game, while Albania seized the opportunity with loose passes and ventured forward, which was Albania's first real chance, but was defused by England.
Kane was supposed to have scored 2 goals, but one of his shots hit the crossbar of the frame.
England got sharper in the second half.
A mistake in Albania in the 63rd minute put itself in a very dangerous position, and when Kane passed the ball to Mount, Mount scored and Albania was duly punished.
England have been in control of the pace of the game ever since, with goalkeeper Nick Pope becoming the first England goalkeeper to concede no goal in his first six appearances. England's only flaw was the yellow card shown to Kyle Walker and Kane.