The Hungarian was speaking in the wake of Hearts being forced to cough up a suspended 10,000 fine for failing to improve their disciplinary record this season after being hit with a 50,000 fine in August for their bad behaviour last term.
Laszlo insists his players must show more self-discipline and is hoping captain Michael Stewart and defender Marius Zaliukas can lead by example after appearing to clean up their acts recently.
The manager also believes Falkirk defender Darren Barr, who has signed a pre-contract to join Hearts in the summer, is a player who will show some of the younger players at the club how they should be handling themselves on the park.
"This club can't give money for nothing and this must be the last message for everyone," said Laszlo. "A lot of the times we are punishing ourselves and players must have self-discipline.
"We need players with character and it is pleasing for me that Michael Stewart and Marius Zaliukas, for example, are not the persons they were before (in terms of poor indiscipline].
"You must stop it yourself and, if these two players can do this, then others must follow them.
"Darren Barr is also a player who shows self-discipline. In the last 19 months I have watched him closely and I can see as a manager that he hasn't had many cards.
"This is why I have tried to go in this direction with him and I am delighted to be bringing someone like him to the club."
Meanwhile, Hearts masseur Alan Robson has been hit with a two-game ban and fined 200 for his part in the tunnel incident at Hamilton earlier in the season.