The flying full-back is only the second player to achieve the feat after Gareth Bale won both back in December.
Kyle's wonderful free-kick against Blackburn on Sunday was the runaway winner of the Goal of the Month and he followed-up with a comfortable margin of victory in the Player vote.
GOAL OF THE MONTH - APRIL
A straight vote between Kyle's free-kick against Blackburn, Rafa van der Vaart's sweet strike against Swansea and Jermain Defoe's lovely finish against Norwich.
Kyle Walker free-kick v Rovers - 95.88 per cent
Rafa v Swansea - 2.94
Jermain v Norwich - 1.18
PLAYER OF THE MONTH - APRIL
Kyle completed the double with over a 50 per cent margin from Sandro in second place.
Kyle Walker 65.66
Votes also for Benoit Assou-Ekotto, William Gallas, Younes Kaboul, Jake Livermore, Luka Modric, Brad Friedel and Emmanuel Adebayor.