The operation, a unit of US commercial and consumer finance group CIT Group, is headed up by former Close Print Finance managing director Murray Booker.
Although Pensord's scheme is not the firm's first financing deal, Booker said it was "one that CIT was proud of".
Booker added that he hoped to announce more finance deals early next year.
The Pensord deal covers the Welsh magazine printer's third Heidelberg long-perfector press, which is due to be installed in January next year.
It also includes a balloon payment of around 1m on an existing press, which CIT Print will take over from one of Pensord's other finance suppliers.
Blackwood-based Pensord has invested 7.5m in re-equipping its premises since an MBO two years ago, led by chief executive Tony Jones.
CIT secures 2.4m Pensord deal
CIT Print has sealed a 2.4m finance deal with Pensord, just two months after the specialist finance division was launched.