BBC News reports that the Bank said it would liaise with other central banks 'on this matter'.
The firm came under fire after it was disclosed that Goldman Sachs had complained about journalists trying to glean information from the data.
On Monday Bloomberg said it was an 'inexcusable' error to allow its reporters to monitor the activities of clients on its terminals.
The US Federal Reserve is looking into whether activity on Bloomberg terminals by its chairman, Ben Bernanke, was also tracked.
Now the BoE has raised concerns, with a spokesperson saying: 'The protection of confidential information is vital here at the Bank. What seems to have happened at Bloomberg is reprehensible.
'Bank officials are in close contact with Bloomberg, who have provided assurances to ensure that this does not happen again. We will also be liaising with other central banks on this matter'.
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