The 19-year-old aspiring actress tragically lost her mother when she was found dead in the bath of a hotel room in February following cocaine use, reported Radar online.
Kristina will be appearing in just one season and she is also concentrating on a reality TV series titled 'The Houston Family Chronicles'.
The show will follow the antics of the teenager and her family, including Whitney's brother Gary Houston and the late musician's mother Cissy.
The Lifetime network, which will air the fly-on-the-wall series, said in a statement, "Whitney Houston's sudden passing left behind a major void felt not only by the world, but also by those who loved her most, her beloved family.
"The Houston Family Chronicles' follows those closest to the pop music icon as they try to pick up the pieces after her untimely death."
The network will show 10 episodes which will see soul musician Dionne Warwick - Whitney's cousin - and gospel singer CeCe Winans make guest appearances.