Scotland needs a "parliament with teeth" to hold the next SNP government to account, Ruth Davidson has said.

The Scottish Conservative leader said the SNP's inability to win a second overall majority in the Scottish Parliament election would put "parliament back in control".

Nicola Sturgeon's party won an historic third successive Holyrood victory on Thursday but fell short of the overall majority it achieved in 2011, which paved the way for the 2014 independence referendum.

The SNP won 63 seats, two short of an overall majority. The Tories won 31 seats, beating Labour into third place and ensuring Davidson will be the next leader of Holyrood's official opposition.

Davidson said enacting key Tory proposals would create a "parliament with teeth" that could hold the SNP to account.

Speaking on Saturday, the Scottish Tory leader said: "I said during the election campaign that we would press for a parliament with teeth. Before the new parliament gets underway, we have an opportunity to act on that.

"Too often during the last parliament, bad laws were swept in thanks to the SNP majority. Now they are a minority administration, it puts parliament back in control.

"Some simple reforms now need to be considered - and I want all opposition parties to find common cause in putting those forward."

Conservative plans for parliamentary reform include making the conveners of certain committees come from opposition parties, giving opposition party spokespeople more regular opportunities to question government ministers and ensuring that MSPs serve on committees for a full parliamentary term.

Davidson added: "We can hold the SNP in check - and ensure better government and a stronger Scotland as a result."

The SNP said the fact Holyrood committees are determined by the strength of parties in parliament is "in line with democratic principles".

An SNP spokesperson said: "Parliament will decide all of these issues in a consensual, democratic way, as it always has done.

"The shape of Holyrood's committees is determined by the strength of parties in the parliament - again in line with democratic principles. And it isn't for any single MSP or party - certainly not those who lost the election by a country mile - to try and dictate terms.

"The SNP Government will seek to work with all parties to find consensus wherever possible, if it is in the interests of the people of Scotland.

"At the same time, Ruth Davidson and Labour need to respect the verdict of voters across Scotland, who have handed the SNP an overwhelming victory at this election and with it a clear mandate from the public to deliver on our manifesto commitments."

The Scottish Liberal Democrats said opposition to the SNP at a Holyrood needed to consist of more than a "narrow Tory agenda".

Party leader Willie Rennie, who won a surprise victory from the SNP in North East Fife, said: "Of course the issues that the Conservatives have highlighted are important. But opposition to the SNP needs to be far wider than a narrow Tory agenda."

Rennie added: "On issues like tax there is more that unites the Tories with the SNP than divides them.

"And on issues like justice they are more likely to chase cheap headlines than push for reforms which help cut offending and reduce the number of Scots who are imprisoned.

"On education there is no indication that they will press for the urgent investment that is required to make our schools the best again.

"Scotland is an open, tolerant, liberal minded country and the Liberal Democrats will provide a strong liberal voice at Holyrood."