According to Deadline, Lucasfilm has approached the two men with regards to working on Star Wars Episode VIII and Episode IX.
Toy Story 3 writer Michael Arndt was previously confirmed to be penning the screenplay for Episode VII, which was only announced last month after Disney bought the George Lucas-founded company.
Kasdan is best known for writing two previous films in the franchise - 1980's The Empire Strikes Back and the 1983 follow-up Return of the Jedi. He has also worked with Lucas while scripting Raiders of the Lost Ark.
Kinberg penned the screenplay for Guy Ritchie's Sherlock Holmes as well as writing X-Men: The Last Stand, This Means War and Mr and Mrs Smith.
[Pictured above from left to right: 'Empire Strikes Back' director Irvin Kershner, producer Gary Kurtz, George Lucas and writer Lawrence Kasdan]
Star Wars Episode VII has allegedly narrowed down the field of potential directors to just two.
Kick-Ass's Matthew Vaughn, Captain America's Joe Johnston and Safety Not Guaranteed's Colin Trevorrow are among the directors who have been linked to the job.
Photo gallery - Star Wars series in pictures: