It will cost more than three times the original Leica M-P, which was priced £5,650 when it went on sale last year.
It is not known how many of the limited-edition kits will reach the UK.
‘The collaboration with Lenny Kravitz was born out of the artist’s passion for photography,’ said Leica earlier this week.
Kravitz was given his father’s Leicaflex as a gift when he was 21, the first camera Kravitz had ever used.
To mimic the look of the vintage Leicaflex in the new Leica M-P, the German manufacturer set about ageing it artificially.
‘For instance, the glossy black enamel of the camera and the two lenses have been intentionally aged in homage to a well-used camera system, showing traces of wear that would usually point to many years of constant use,’ said Leica.
‘To achieve this used look, every camera and lens of the edition was “aged” entirely by hand to create absolutely unique individual products.’
The camera will come with a Leica Summicron-M 35mm f/2 Asph and a special version of the Summilux-M 50mm f/1.4 Asph lens.
Of the latter, Leica added: ‘This lens has been constructed in the classic design of its ancestor from 1959 and reflects the typical features of its predecessor – for instance, the scalloped focusing ring and a finely knurled aperture ring.’
The Leica M-P ‘Correspondent’ by Lenny Kravitz for Kravitz Design kit will come in a special handmade case.