The company intends to build two warehouse units of 44,500 sq ft and 13,800 sq ft on the 4.23-acre plot J site.
Knight Frank and Avison Young acted for Delta on the deal.
Extending to 40 acres, Central Park III is Delta’s third foray into the Bristol land market.
The site is situated off Severn Road, and now benefits from new roads and services running to all plots.
The project has been conceived to provide supply of smaller plots of land to local businesses.
Barberry’s acquisition of plot J reflects further occupier and investor demand in the area.
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Jonathan Robinson, development director at Barberry Industrial, said: “We will be issuing further details on our proposed development in the coming weeks, but rest assured it will reflect the high quality of the buildings we have already delivered in the area.”
Delta’s Michael Shebson added: “We are delighted to have concluded another sale with Barberry, who share our vision in transforming this area of Severnside.
“Together, we continue to establish Bristol as the prime location for logistics throughout the region.”
Prior to this, Barberry has purchased land from Delta to create More+ Business Park on Central Park, Avonmouth, comprising an 11-unit mid-box logistics park capable of providing circa 560,000 sq ft of accommodation.
The company developed a speculative scheme on phase one More+, which included five warehouses now let to occupiers including Network Rail, SIG, Pilkington and Huboo.
They are now on-site constructing phase two, which consists of six units equating to 382,825 sq ft.
Overall, Barberry has a 3.3 million sq ft industrial/logistics development pipeline with a GDV of more than £400m.
The company has 455 acres of strategic land, with a development land value of £225m across 10 sites under its control, and a £30m commercial and residential value add portfolio.
Currently, it is developing a £35m precision engineering advanced manufacturing and design facility for a global leader in military and commercial engine controls systems in Gloucestershire.
Pictured above (L-R): Jon Mott, project director; Jonathan Robinson, development director at Barberry Industrial; Emilie Douglas, property surveyor; and Henry Bellfield, director, all at Barberry Group.