The former West Brom manager guided the Three Lions to the quarter-finals of Euro 2012 this summer, only to be eliminated by eventual runners-up Italy on penalties.
And Hodgson believes England must start to take the game to their opponents and attempt to dominate the ball more in order to perform at major tournaments.
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"We must also show we are capable of seizing the initiative and dominating games in tournaments rather than holding out and hitting opponents on the counter-attack.
"In the matches since the Euros, particularly against Italy and Moldova, I think we have already demonstrated how we would like our national team football philosophy to be."
Though the 65-year-old was keen to insist possession statistics are not everything, he admitted passing well was usually conducive to winning.
"My years of experience have taught me to be slightly wary of stats and certainly wary of basing my judgement on a team's ability to play in purely statistical terms," he added.
"However, there is no doubt that the key to being a successful team lies in your ability to pass the ball and support each other.
"This is an area of play that I'd like to think, during my time as England manager, we will improve."