Britain initially qualified only one ride for the event in Pontal, Rio.
The 30-year-old Welshman's inclusion comes after several competitors from other nations suffered crashes in the road race on Saturday and withdrew.
"I'm looking forward to racing again on Wednesday," said Thomas, who also crashed but is fit to race.
Australia's Richie Porte and Vincenzo Nibali of Italy are among those to have withdrawn following crashes in the road race on Saturday, which left them both with fractures - Nibali a double collarbone break, and Porte a shoulder blade.