Consumer confidence is starting to pick up in the face of lower gas prices, former Wal-Mart CEO Bill Simon said Monday in a turnaround from his comments in July that the job market recovery was not spurring shoppers to spend.

"Gas prices do a lot not only for customers' wallets, but for their psyche in general. It's a really big boost. Gas is an emotional purchase, as you know. People drive all the way across town for 2 or 3 cents a gallon. And now with gas at about half of what it was a year ago, I think consumer confidence is really starting to pick up," Simon said in an interview on CNBC's "Squawk Box."