The 31-year-old has signed a two-year contract and will join the Owls on 30 June.
Wednesday boss Dave Jones told BBC Radio Sheffield: “He’s a top class goalkeeper and I’m delighted to get him here.”
He added: “He’s had one or two problems with injuries but he had an extensive medical and came through with flying colours.
“There’s no guarantee that he’ll be number one here. We’re in the process of trying to secure a deal for Stephen Bywater and whoever plays best in pre-season will earn the right to play.”