"has started construction" is a correct and usable phrase in written English.
You can use it to describe something that has recently begun building or construction - for example, "The bridge across the river has started construction."
Galaxy has started construction and has 500 workers.
The building's developer, TF Cornerstone, recently finished two others and has started construction on a third and fourth.
Brazil has started construction of a huge observation tower in the Amazonian basin to monitor climate change.
Kipp-Stawski Inc., a development company, has started construction on a 25-story office tower in Manhattan on Madison Avenue near Grand Central Terminal.
REFLECTING the continuing popularity of upscale rental housing, Trammel Crow Residential has started construction on almost 800 luxury apartments in central Suffolk County.
She has secured approval for two new berths at Port Hedland, finished the deepwater dredging for them, and has started construction on her own two-hundred-and-fourteen-mile railway and high-tech remote operations center near Perth Airport.
We have started construction on a 20-acre piece of the 2,200 acres.
Both Fokker Services Asia and MAJ Aviation have started construction on hangar facilities to enable them to expand MRO services.
Since arriving, "I have seen four major buildings demolished and they've started construction there," he said.
Further, he said that if the state deemed the project too costly after having started construction, it would be required to return the $2.4 billion to the federal government.
More than a dozen large solar PV projects have started construction, almost all of them in northern Chile, on the nation's central grid.
