The DJ previously had a hour-long Sunday show.
"We have the utmost love and respect for David both personally and professionally," the statement continued.
"He leaves with our sincere appreciation and gratitude for all that he has achieved with Kiss."
Rodigan was inducted into the Sony Radio Academy Hall of Fame in 2005 and was made an MBE in the 2012 New Year Honours for services to broadcasting.
Earlier this year, he won his third Sony Award for a separate programme he presents on BBC Radio 2.
"Reggae is worthy of more respect and so are the fans and lovers of this music," he said in a statement published on his website.
The 60-year-old said he had "shared some wonderful times with many fantastic artistes and members of staff" during his association with Kiss.
The station, which is owned by Bauer Media, said it remained "passionate about broadcasting a brilliant cross section of music genres, including reggae".
SOURCE: bbc news