The scam, which comes just two weeks after Barclays was targeted, involved e-mailing users and asking for credit and debit card information via a link to a spoofed website.
Lloyds TSB, which was alerted by a number of its customers who received the e-mail, contacted the National Hi-Tech Crime Unit which worked through the night with the bank to resolve the problem and close the offending website.
Only one customer attempted to send their card details to the e-mail scammers, but their card was blocked immediately and no money was taken, a Lloyds TSB spokesman said.
Identity theft is one of the fastest growing crimes on the internet, according to the National Hi-Tech Crime Unit.
In recent months, companies such as Barclays, Amazon.com, Citibank and PayPal have all been targeted.
Companies need to educate their customers and consider technical steps, such as encryption and securing e-mail gateways, analysts and security experts have advised.