It was another subdued performance from the Tottenham striker against Scotland.
Asked about his decision to substitute Kane, Southgate told ITV: "I just felt we needed more runs in behind. I felt Marcus Rashford would give us that energy, at that point we had got to try and get the win.
“We have to make these decisions based on what we see.
Kane managed just 19 touches of the ball while he was on the pitch.
Asked what is missing from Kane’s game, Southgate said: "The whole team can look at ourselves, that starts with me, we've got to be better.
“We didn't do enough to win the game tonight, not enough attempts on goal, we have to go away and look at that.”
Kane described Southgate’s decision to substitute him against Scotland as “part of the game”.
Kane said: "It is part of the game, the manager felt that was the right decision so you just have to take it. It is what it is.”