West, currently on the 'Watch the Throne' tour of the UK and Ireland with Jay-Z, celebrated his 35th birthday yesterday (June 8)
TMZ reports that Kardashian purchased the 'Otis' singer a Lamborghini Aventador LP 700-4 in LA.
According to friends close to the star, Kardashian filmed a video of the car for West, and planned to meet him in Ireland to screen the clip.
The couple went public with their relationship earlier in the year, after rumours of a romance sparked due to West's song 'Way Too Cold'.
The rapper will reportedly make a brief cameo in upcoming episodes of Keeping Up with the Kardashians.