The Liberal Democrat deputy leader Simon Hughes has accused Tory MPs of behaving as if they were "born to rule".
Mr Hughes told the BBC Radio 4's The World at One that said the Conservatives must stick by their agreements and not act like they have a majority.
He said: "I know that Tories would have liked to have won the general election, but they didn't. They didn't get a majority and they haven't had a majority for many elections.
"It may be uncomfortable for the Tories – some of whom think they are born to rule – but unfortunately the electorate didn't agree with them."
His comments follows Tory demands for plans to reform the House of Lords to be dropped from the Queen's speech.
Asked what his message was to those MPs who are critical of the Prime Minister and the Government, Nick Boles said:
I would wish that they would air those criticisms in private, in meetings, in the House of Commons next week. We have formats for that and I think, frankly, rushing into television studios to attack your own Government is never a brilliant idea.
Tory MP Nick Boles (Grantham and Stamford) says the Government has got a lot of policies to make the economy grow again but it now needs to focus on making sure they deliver.
Liberal Democrat leader Nick Clegg signalled he was determined to press ahead ahead with House of Lords reform, despite George Osborne suggesting the Government would stall plans.
Writing in the Guardian Mr Clegg said his party's radicalism was needed "as much as ever" and called on the coalition to "get on" with the reforms rather than becoming "tied up in knots in Westminster" over the issue.
He added: "The first two years of the coalition were a rescue mission for the economy. The second half has to be about reform."
David Cameron has admitted he needs to "prove" himself to voters and insisted he understands the message from the local elections "loud and clear".
In an article for The Telegraph, he wrote:
– David Cameron, Prime Minister
My reaction to last week's local election results is straightforward: I get the message, loud and clear.
I know that the familiar excuses - low turnout, mid term blues - aren't enough.
Even the difficulties of our economic situation and the tough but necessary decisions the Government has had to take cannot fully explain the results.
The message people are sending is this: focus on what matters, deliver what you promise - and prove yourself in the process. I get it.
Tory MPs have urged the government to make changes following a a dismal display in Thursday's local election. Veteran Tory Brian Binley said the verdict at the ballot box was a "major setback" for the party and urged Prime Minister David Cameron to "wake up and smell the coffee".
Backbencher Bob Steward has urged Conservative high command to "listen" to the unrest in the nation and called for some "sanity" in next week's Queen's speech.
Former minister Tim Yeo insisted it was "not too late" to push highly divisive House of Lords reform to the "bottom of the queue" as the Government finalises the coalition's legislative programme.
Lord Ryder of Wensum said the Prime Minister "lacks coherence" and needed to take charge before he loses his grip on power within the party.
Daily policy announcements and "pointless gimmicks" should be left to junior ministers, while Mr Cameron sets out the "big picture", he said, telling the BBC the Prime Minister needed to ditch the party's co-chairmen Baroness Warsi and Lord Feldman.
They should be replaced with an MP, who could act as a "lightening conductor" and "firefight" internal rows within the party.
David Cameron may no longer be the "master of his own destiny" if he does not "get a grip" on government, a former Tory chief whip said in the wake of heavy party defeats in last week's local elections.
Lord Ryder of Wensum told the BBC the Prime Minister needed to worry less about the 24-hour news agenda and concentrate on developing a "strategy and vision" for government.
– The Chancellor, George Osborne speaking to BBC's Andrew Marr show
Nadine Dorries for last seven years has not agreed with anything either myself, David Cameron or most Conservatives have done. She has objected to the modernisation of the Conservative Party and that is her business. We have to stay focused on what really matters, and they are not House of Lords reform, not gay marriage. They are the economy, the education system, the welfare system and the police.
Commons Speaker John Bercow claims voters feel let down by mainstream political parties because they have not got what they voted for.
In a stinging verdict on the local election results, which saw poor turnout and a drubbing for the coalition, he suggested people felt disillusioned because the parties are "quite similar" and there "isn't a huge choice."
The Speaker, who is expected to remain politically impartial at all times, claimed many people are "suspicious or even despairing" about the political system.
In an interview for Sky News' Murnaghan programme, Mr Bercow said: "To some extent, people are suspicious or even despairing of formal politics as a means to give expression and effect to what they want.
"I think there is a wider dissatisfaction that people feel partly that the parties are still quite similar and perhaps there isn't a huge choice, and partly they feel, well 'I said what I wanted, and I voted accordingly, but I haven't got what I wanted or what I voted for two years ago'."