However, a director said demand for homes in Scotland is not strong enough for the firm to consider increasing its limited housebuilding operation in the country.
After Galliford Try announced a 17% increase in annual pre-tax profits to a record £74m, the head of its construction arm, Ken Gillespie, said the Scottish business made an important contribution in the year to June.
Noting robust activity levels at the Morrison Construction operation in Scotland, Mr Gillespie said the strength of the public sector market had been key to its success.
"The flow of public sector projects has been good. If anything the balance of work has migrated more towards Scotland in the last 12 months," he said.
Mr Gillespie emphasised he believed the Scottish Government's decision to maintain investment in areas like infrastructure and building schools amid the economic slowdown had provided a big boost to the market.
"The Scottish Government is committed to investment as opposed to the Central Government who are still limiting the pipeline," he said.
After winning a series of contracts in areas like building schools the company has enough work in hand in Scotland to remain busy some time.
Morrison Construction increased employee numbers to 1150 at June 30, from 950 at the same point in 2012.
There is a good pipeline of opportunities in Scotland.
Mr Gillespie said: "We are not really seeing new investment by the public sector in England and Wales." The company said central government remains focused on deficit reduction.
Asked if Galliford Try planned to expand the small housing operation it has focused on the Inverness area, Mr Gillespie said: "Scotland is not a priority for us in terms of the development of the housing business."
He added: "We don't see demand is strong enough."
Galliford Try and rival Crest Nicholson provided further evidence that conditions in housebuilding markets have been improving, helped by measures introduced by the Coalition Government to boost demand.
Galliford Try said it had seen a marked uplift in reservations since April 1 following the launch of the Help to Buy scheme. Around 31% of buyers have used the scheme since then.
"The south east remains the strongest market and has led pricing growth," said Galliford Try.
In an update on trading from May 1 to September 6, Crest Nicholson said: "The sales environment had been improving since the start of the calendar year, supported initially by 'Funding for Lending' feeding through into lower mortgage rates. The introduction of the 'Help to Buy' scheme in the Budget has provided a further stimulus to activity."
The company said it focused on prime locations in the south of the UK, which have tended to perform best through the cycle. It has no operations in Scotland.
Directors expect the business to enjoy good trading conditions for the next few years, supported in part by government efforts to stimulate the housing market.
The Surrey-based group returned to the stock market in February.
Sir Tom Hunter's West Coast Capital and Bank of Scotland bought Crest in May 2007, for £715m, only to see the value of house-builders shrink as the housing market plunged.