The funds, announced on Tuesday, will go directly to scientific research on space, health sciences, agri-tech and food and drink.
The money is part of the UK government’s wider investment in the UK City and growth Deals in Scotland, which has now topped more than £1bn.
The prime minister said: “Alongside the Scottish government and local partners, I will be confirming £300m, as part of a wider £1bn investment by the UK government through City Deals in Scotland, to create jobs and open up new economic opportunities throughout the nation.
“I have also announced a further £13m for investment in six science centres in the UK, including Dundee and Glasgow, to drive innovation in science and technology.
“As we leave the EU, the UK government is working in partnership with business, academia and the devolved administrations to create more good jobs and spread economic prosperity across the country.”
In June, the Convention of Scottish Local Authorities said councils should have the power to introduce a tourist tax to ease pressure on public services caused by tourism.
