Target is warning customers of "phishing" and scam emails after details of more than 40 million credit and debit card accounts were stolen from the company between Nov. 27 and Dec. 15.

The Minneapolis-headquartered retailer announced, Tuesday, that it has learnt about some incidents of scam emails targeted to users affected by the data breach. "We are aware of limited incidents of phishing or scam communications," spokeswoman Molly Snyder said in a statement.

For addressing the issue, Target said it will create a section in its website that will contain copies of Target's official communication to customers, to make them better aware.

"To help our guests feel confident that what they are hearing from Target is really from us, we are in the process of setting up a dedicated resource on our corporate website where we will post PDFs of all official communications that Target sends to our guests," Snyder said.

The announcement has come a day after company confirmed the involvement of Justice Department and U.S. Secret Service in the investigation.

Shares of Target closed down 0.27 percent at $61.71 on the NYSE on Tuesday.