Hays claims that for some engineering, construction and IT projects, it is having to look to Ireland and other European countries for applicants to fill jobs.
The new Queensferry Crossing, Edinburgh Trams and offshore and onshore renewables projects are said to be generating significant employment in engineering and IT, but it is claimed Scotland and the rest of the UK is suffering among the worst skills gaps in Europe.
The Hays Global Skill Index 2013 claims that, despite the economy coming out of recovery and job opportunities being created, there are still areas where skills are unavailable.
However, the Scottish Government claimed last night "impressive progress" was being made in the area and said youth employment levels were eighth out of 28 EU countries.
The company's report, The Great Skills Mismatch, claims the only countries in Europe facing a greater talent mismatch than the UK are economies badly affected by the eurozone crisis such as Spain, Portugal and Ireland.
Produced in collaboration with Oxford economists, the index is based on an analysis of employment markets across 30 major global economies and highlights the extent to which businesses and governments have to work together to build the right skills pipeline for sustainable recovery and growth.
Hays in Scotland recently reported growth in excess of 10% in its business the past 12 months, which is driven to a great extent by major infrastructure projects, but it said finding skilled talent to deliver the projects was proving a challenge.
"Other major engineering projects under way currently in Scotland are the Scottish schools refurbishment programme and the Beauly-Denny overhead line upgrade," said Darren Montagu, managing director for Hays in Scotland. "So engineering, construction and IT are very much the pinch points for this talent mismatch in Scotland. In fact, in some cases we are even having to look to Ireland and the continent for the skilled professionals we need."
According to Hays, the oil and gas industry is also showing no decline in the constant demand for experienced mechanical and electrical design engineers, with drilling, geosciences, structural integrity and technical safety inspection particularly difficult to resource for.
Mr Montagu said: "It's heartening to know there are so many opportunities in Scotland currently, but there's a real need for more action from both the Government and the business community to address these ongoing skills shortages.
He added: "In the long term, education policy must be aligned far more closely with the needs of businesses.
"This also means motivating students towards the education levels required to meet the demands of industry, easing the transition for students into employment and ensuring that the widest possible group of skilled workers, across all generations, are participating in the labour market."
A Scottish Government spokesperson said: "We work closely with industry to identify the current and future skills needs in our key economic sectors. We are currently developing skills investment plans in specific areas such as energy, ICT and engineering to provide young people with opportunities to study and train and be the next generation of Scotland's skilled workforce."