The country's existing facilities – both run by EDF – provide 33 per cent of the country's electricity.
But Hunterston, in Ayrshire, is 40 years old and due to close in 2023. Torness is 28 years old and will be axed in 2030.
The Conservatives said new plants should be built on the existing sites to help reduce carbon emissions.
Scotish Tories have put pressure on Nicola Sturgeon for more nuclear power
It formed part of pakage of measures including free town-centre parking for electric cars and the use of bus and taxi lanes.
The policy paper also called for an expansion electric vehicle charging points and urges public bodies to consider replacing fleets with electric vehicles.
It also proposes a targets of 50 per cent of Scotland energy produced by renewables by 2030 and 75 per cent of all waste being recycled by 2035.
The paper also called for a special action fund and grants to tackle 'alien' plants that have been taking over countryside.
Hunterston power station in Ayrshire is due to close in five years
Scotland spends an estimated £251million a year to repel invading species, such as rhododendron, Japanese knotweed, and the toxic giant hogweed.
We could not have been clearer that we are opposed to the building of new nuclear capacity in Scotland
First Minister Nicola Sturgeon has faced repeated calls to end her opposition to nuclear power.
They have been warnings the country faces the prospect of having to import power from England to keep the lights on.
Unveiling the document Tory leader Ruth Davidson said:"We believe it is our duty to the next generation to leave Scotland a better place than we found it.
The Fukushima nuclear disaster Fri, March 11, 2016
The Fukushima disaster was one of the world's worst nuclear plant accidents. A 12.5 mile exclusion zone was created in the aftermath of the meltdown. These pictures show how nature has reclaimed the deserted land.
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Devastations of the Fukushima tsunami. 2011
Torness is another power station to be axed in just over a decade
"Our approach will provide Scots with a greener and more pleasant land to call home.
"We set ourselves this task because it is one of the greatest challenges of our times."
Other proposals put forward yesterday include plans to establish new national parks where there is local suppo
Coal-fired stations at Longannet in Fife and Cockenzie in East Lothian have both closed in the past three years.
The SNP has been warned Scotland may face having to import power from England
Figures show the country remains reliant on its two ageing nuclear power stations to generate its energy.
The Scottish Government has already set a target for the equivalent of 100 per cent of Scotland's electricity needs to come from renewables by 2020. But it recently produced a new target for 50 per cent of energy required for heat, electricity and transport to come from renewables by 2030.
A Scottish Government spokesman said:“We could not have been clearer that we are opposed to the building of new nuclear capacity in Scotland.
"New nuclear is prohibitively expensive in terms of both construction and for consumers, and would divert billions of pounds away from renewable alternatives where Scotland has a key competitive advantage."