Murphy ran in three of those tries in the second half as Tigers triumphed 60-16 to make it two wins out of two in the opening phase of European competition.
I think the big difference was that this week we were able to finish off the chances we created, said Murphy who now has five tries in five starts this season.
Everybody worked hard throughout the team. Geordan gifted me one try and Marco Wentzel put me away for the third one, all the guys were working hard.
A try from skipper Benjamin de Jager in the opening stages of the second half brought Treviso to within one point of their visitors, but Murphy admitted that the hosts score provided the wake-up call for what came next.
We were disappointed that we let them back into the game,he said. But Martin Corry got us together behind the posts and said You now know that we are in a game now' he told us to keep doing what we were doing and do it right.
Treviso had a very good game in Perpignan last week and lost by just nine points. They were in the game against is for 50 minutes before we pulled away and they made it tough for us.
As well as the Murphy hat-trick, they were also tries from Toby Flood (2), Jordan Crane (2), Geordan Murphy and a penalty try from a close-range scrum as Tigers claimed a first bonus-point win of the season in league and cups.
We kept playing our game and it worked out for us in the end, Murphy said.
We finished off our chances and showed that we are a dangerous side. We are still learning side but the most important thing is that we are going in the right direction.