George Osborne today insisted the Government would "learn" from the verdict delivered at the ballot box on Thursday.
He told BBC1's The Andrew Marr Show: "I think what people are saying is focus on the things that really matter, focus on the economy and on education and welfare. Focus on those things, don't get distracted by too many other issues."
The Chancellor dismissed suggestions that voters had deserted the Conservatives in the elections as a result of gay marriage proposals or Lords reform as "clearly not the case."
But he said that while Parliament would debate the planned shake-up of the upper chamber, it was not a "priority".
He added: "We are focused on the really important issues that matter to people.
"Parliament can discuss these issues, Parliament is very good at discussing these issues, but it is certainly not my priority, the priority of the Government.
"It is not where the efforts of the Government and the executive are going to be directed."
Nadine Dorries told BBC 5Live's Stephen Nolan Programme:
What we have seen on Thursday was pretty bad. A year from now we have bigger local elections and unless we change dramatically what we are doing now we could see even bigger losses.
The (Conservative) MPs in the House of Commons will not sleepwalk towards a next general election like Labour MPs did and watch their seats disappear because of bad policy.
Conservative MP Nadine Dorries has warned Tory leader David Cameron he will be kicked out of office by his own backbenchers within the next year unless he "dramatically" changes the party's policies.
In an outspoken attack, the politician described the Prime Minister and his Chancellor George Osborne as "dangerous", saying they were leading the Conservatives "towards defeat" at the next general election.
The MP for mid-Bedfordshire also hit out at Mr Cameron's "sneering" attitude and claimed backbench discussions about introducing a motion of no-confidence against the leader were already taking place following a dismal display at Thursday's local elections.
As well as the announcement of the new Mayor of London the 11 London-wide Assembly Members have been decided as follows:
Jenny Jones - Green
Caroline Pidgeon - Lib Dem
Nicky Gavron - Lab
Andrew Boff - Con
Darren Johnson - Green
Murad Qureshi - Lab
Gareth Bacon - Con
Fiona Twycross - Lab
Victoria Borwick - Con
Tom Copley - Lab
Stephen Knight - Lib Dem
These are the results of the local election for the London Assembly constituency seats so far. The results from Brent and Harrow have been held up because two boxes of ballot papers needed to be entered manually.
The remaining 11 seats in the Assembly are for London-wide candidates who represent the whole city. Results are not in yet for them.
- Barnet & Camden - Andrew Hartley Dismore, Labour
- Bexley & Bromley - James Spencer Cleverly, Conservative
- Brent & Harrow - TBC
- City & East - John Robert Biggs, Labour
- Croydon & Sutton - Stephen John O'Connell, Conservative
- Ealing & Hillingdon - Onkar Singh Sahota, Labour
- Enfield & Haringey - Joanne McCartney, Labour
- Greenwich & Lewisham - Len Duvall, Labour
- Havering & Redbridge - Roger Evans, Conservative
- Lambeth & Southwark - Val Shawcross, Labour
- Merton & Wandsworth - Richard Patrick Tracey, Conservative
- North East - Jennette Arnold, Labour
- South West - Tony Arbour, Conservative
- West Central - Kit Malthouse, Conservative
Labour's electoral victory and the resulting unrest within the coalition Government dominate all of tomorrow's papers.
Here is what they are saying:
With all of the 181 councils votes in England, Scotland and Wales returned, the local elections have seen Labour make sweeping gains.
- Labour gain 824 seats
- Conservatives lose 428 seats
- Liberal Democrats lose 385 seats
The Green party is celebrating solid results in today's local elections. They saw an overall gain of 11 councillors, and the successful defence of all their seats in stronghold Norwich.
The party's leader and only MP Caroline Lucas said the results showed the Greens were "growing in confidence and steadily building support".
Jenny Jones, the Green party candidate for London mayor, is currently heading for third place.
The final results of the Scottish local elections are in. Labour has won majority control of four councils, while independent candidates now control three councils and the SNP party just two. There was no overall majority in 23 councils.
The total numbers of councillors for each party are as follows:
- SNP - 424
- Labour - 394
- Independent - 201
- Conservative - 115
- Liberal Democrat - 71
- Green - 14
- SSP - 1