"After three seasons where we work a lot and set the bases it will be important in the next few seasons to try to win trophies," Pochettino told Sky Sports after Sunday's 7-1 win over Hull City.
Striker Harry Kane scored a hat trick against Hull to take his tally to 29 goals from 30 league games and win the Premier League's Golden Boot for the second consecutive season.
"For him to play 30 games and score 29 goals is unbelievable," Pochettino said.
"He is the top scorer again and it's fantastic for him, a big achievement. It helps the team to play well and finish second. Next season is a big challenge again."
Tottenham last won a major trophy in the 2007-08 campaign when they won the League Cup.
(Reporting by Aditi Prakash in Bengaluru; Editing by Peter Rutherford)
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