The former Tottenham Hotspur boss has been discussing the club's proposed move to a new stadium.
The former Tottenham boss, who also managed England and Barcelona, believes it is vital for Spurs to abandon the memories of the past and start a new chapter in their history - just as the Gunners have done.
Tottenham are looking to move away from White Hart Lane but may be forced to groundshare temporarily before they can move in to their new ground.
But, regardless of whether the north London side move in to Wembley, Stadium mk or even the Emirates temporarily, Venables insists a move to a new stadium must be made at all costs.
"I’m sorry, Spurs fans, you may not want to read this but it’s essential Tottenham follow the examples set by Arsenal and Manchester City," Venables wrote in the London Evening Standard.
"Like Tottenham, they both had grounds rich in history and tradition. It was always wonderful to stand at Highbury and Maine Road and soak up the atmosphere that was so much richer because of all the years that had gone before.
"But is that all Tottenham stand for now - yesterday as opposed to tomorrow?
"Arsenal took the plunge, so did City, they abandoned the memories and decided the future was more important. Now look where they are."
Tottenham travel to the Stadium of Light to face Sunderland in their next Premier League clash on Saturday.
New boss Mauricio Pochettino enjoyed a fine start to his reign at White Hart Lane, winning both of his first two league games and even topping the table on goal difference.
But a 3-0 loss to Liverpool means Spurs will be keen to get back to winning ways against Gus Poyet's side this weekend.