DR Congo head coach Sebastien Desabre has also recalled experienced 34-year-old winger Gael Kakuta.
Wan-Bissaka is a former Manchester United full-back who opted to represent the Leopards after being overlooked by the England national team and has since made nine appearances.
Wissa, meanwhile, returns to the squad after missing out on the 2025 Africa Cup of Nations.
DR Congo have been drawn in Group K at the continental showpiece against Portugal, Colombia and Uzbekistan.
Full DR Congo World Cup squad:
Goalkeepers: Matthieu Epolo (Standard Liege), Timothy Fayulu (Noah), Lionel Mpasi (Le Havre).
Defenders: Dylan Batubinsika (Larisa), Rocky Bushiri (Hibernian), Gedoon Kalulu (Aris Limassol), Steve Kapuadi (Widzew Lodz), Joris Kayembe (Racing Genk), Arthur Masuaku (Racing Lens), Chancel Mbemba (Lille), Axel Tuanzebe (Burnley), Aaron Wan-Bissaka (West Ham United).
Midfielders: Theo Bongonda (Spartak Moscow), Brian Cipenga (Castellon), Meshack Elia (Alanyaspor), Gael Kakuta (Larisa), Edo Kayembe (Watford), Nathanael Mbuku (Montpellier), Samuel Moutoussamy (Atromitos), Ngal'ayel Mukau (Lille), Charles Pickel (Espanyol), Noah Sadiki (Sunderland).
Forwards: Cedric Bakambu (Real Betis), Simon Banza (Al Jazira), Fiston Mayele (Pyramids), Yoane Wissa (Newcastle United).