"We have no problems getting applicants," said a council spokesman. "Governing bodies have access to our recruitment and retention packages.
"These include health insurance and help with transport, travel cards or lease cars which can be anything up to a Mondeo - it's up to the individual school.
"We also use headhunters, schools can have access to them if they need to use them. Recruitment packages are very much up to individual schools but as I say they have access to the borough's recruitment packages.
"Advertisements are infrequent and we have noproblems with attracting applicants."
St Cuthbert with St Mathias, a primary with 200 pupils in Earls Court, is looking for a new head to start in September. It offers pound;41,000 to pound;47,300, private health insurance and transport benefits.
"Transport benefits can be anything from a travel card allowance to the use of a lease car," said a school spokeswoman. "I'm not quite sure what kind of car but it would be something that would be negotiated with the applicant."
One London-based recruitment analyst said that headteachers had missed out on the "fringe benefits boom" of the late seventies and early eighties because the unions opposed it.
"Kensington and Chelsea are unusual in doing this. It shows they recognise the problems there are in attracting heads."