( CNN ) -- Rory McIlroy kept his nerve in the face of a last day charge from Tiger Woods to win the Honda Classic Sunday and jump to the top of the world rankings . The 22-year-old from Northern Ireland finished with a one-under-par 69 for a 12-under total of 268 at the PGA National in Florida . The victory will see him leapfrog England 's Luke Donald as world No.1 , a week after missing out on the honor when beaten by Hunter Mahan in the WGC Match Play final . 14-time major winner Woods showed he is still a force to be reckoned with after a closing eight-under 62 , his lowest final round as a professional . He finished by draining an eight-foot eagle putt on the 18th to set the clubhouse target on 10-under 270 . World no.3 Lee Westwood also charged through the field on the last day with a 63 to finish on eight-under . McIlroy , under constant pressure from those ahead of him and playing partner Tom Gillis , had to wait until the eighth for his first birdie of the day . He dropped a shot at the 12th , but retrieved it with a birdie at the next to give himself a cushion playing the `` Bear Trap '' holes of 15 , 16 and 17 . The U.S. Open champion duly completed that test in level par and he played safe on the 18th for a par-five to wrap up his third PGA tour title . `` First and foremost it 's just great to win this tournament , '' McIlroy said . `` It was tough today , especially seeing Tiger make a charge . I knew par would probably good enough today , that 's what I was trying to do . '' The 43-year-old Gillis birdied the 18th to tie Woods for second , two back , for his best finish on the tour .
Rory Murray wins Honda Classic tournament in Florida . McIlroy will rise to no.1 in the new world rankings . Tiger Woods puts him under pressure after an eight - under 64 . Woods and Tom Gillis are tied for second .