On Thursday, April 4 the pair will take a tour of the Emirates Arena, one of the main venues for the 2014 Glasgow Commonwealth Games, before travelling to the Donald Dewar Leisure Centre in Drumchapel.
They will also tour a project for young homeless people run by charity Quarriers in the South Side of the city.
Run in partnership with Glasgow City Council, Quarriers Stopover is a short-term residential unit for 14 homeless people aged between 16 and 25.
Quarriers chief executive Paul Moore said: "Everyone associated with Quarriers Stopover is honoured – and extremely excited – that Their Royal Highnesses The Duke and Duchess of Cambridge have chosen to come to the project on their first visit to Glasgow as a couple.
"Young people who arrive at the Quarriers Stopover project often feel their futures are not particularly bright. When they leave, many have had their lives transformed thanks to the support of the dedicated staff team at Quarriers."
Many of the young people at Stopover have drug or alcohol addiction problems or mental health issues.
Staff at the project work intensively to support them in addressing head on the challenges they face.
Current and past residents supported by Quarriers Stopover will get a chance to talk to William and Kate about their experiences.