David Cameron told Daybreak, "We obviously have to win the trust of the British people" after a poll found over a half of voters no longer trust the Prime Minister.
Mr Cameron said: "We've had to take over these last three years some very difficult decisions, we've had to make very difficult cuts and I know sometimes that hasn't been easy for people.
"Britain is now standing tall in the world again, but we need to keep this up and we need to deliver recovery for everybody, for all.
"For all parts of the country North and South, for all people rich and poor, and we need to demonstrate that we are doing that so we win people's trust."
More top news
How is Sainsbury's positioned to tackle the challenges of low-cost rivals and changing shopping habits?
The head of football's anti-discrimination body Kick It Out has responded to attacks by QPR defender Rio Ferdinand in his autobiography
Prime Minister David Cameron and his wife Samantha surprised diners in Solihull by dropping into fast food chain Five Guys for burgers.