More than two-thirds of Scots believe religious organisations should have the right to decide whether to conduct same-sex marriages, according to a new poll.

Research found 68% of the 1003 people asked agreed religious organisations should be able to marry same-sex couples if they want to.

The survey results also show 64% support for same-sex marriage and come as the Scottish Government prepares to publish the results of its consultation on the issue later this month.

The latest research, conducted by Ipsos Mori on behalf of the Equality Network, LGBT Youth Scotland and the Scottish Youth Parliament, found 26% remain opposed to same-sex marriage in places of worship.

Separate reports indicate 70,000 people have lodged their views with the Government – the biggest response to a consultation since devolution.

The Scottish Government launched its public consultation stating it "tends towards the view" that same-sex marriage should be introduced, but that faith groups and their celebrants should not be obliged to solemnise the ceremonies.

The Scotland for Marriage group, which is supported by some religious groups, has campaigned against the proposal while the Faith in Marriage campaign – a coalition including, among others, the United Reformed Church, the Quakers, Buddhists and the Pagan Federation – has spoken out in support.

Tom French, policy co-ordinator for the Equality Network, said: "Scotland has spoken and the message is clear; there is now overwhelming support for equal marriage across the country and in the Scottish Parliament.

"This record level of support gives the Scottish Government the green light they need to announce legislation that will give lesbian, gay, bisexual and transgender people full marriage equality; both civil and religious."

Last week, the Equality Network announced that 69 MSPs have signed its pledge, saying they would back a change in the law.

However, reports have claimed that of the 70,000 consultation responses, more than 50,000 are against the plan to allow gay couples to get married in a place of worship.

If the Government decides to legislate, there would be a further consultation on a draft Bill, and a finalised Bill could be introduced into the Scottish Parliament in 2013.