This follows a number of changes to clergy positions late last year.
Fr Lukati was previously located at Aberfoyle Park which will now have Fr Santiago Fernandes SFX as administrator for a term of 12 months, commencing Sunday April 15.
Current Croydon Park parish priest Fr Maurice Shinnick will retire at this time.
Fr Lukati arrived in Australia from Kenya in 2012 and served at Blackwood and Adelaide Hills parishes before taking up his position at Aberfoyle Park.
Fr Marshall congratulated the priests on their appointments.