Barclays says the layoffs will take place during a 14-day period beginning May 15.
The company listed economic factors as the reason for the layoffs.
The federal Worker Adjustment and Retraining Notification Act requires employers of companies with 100 workers or more to provide notice 60 days in advance of a plant closing or mass layoffs.
Barclays Capital is the investment banking division of British lender Barclays PLC.
In October, Barclays PLC reported a net loss of 200 million pounds ($322 million) for the third quarter.