The Irishman was the star for Jim Jefferies side, and his goals, the first a penalty and the second a close range header, were just reward for a typically hard working performance.
It was a cagey start to the match with the visitors having the first sight pf gosl as Jim McAlister jinked in from the right, neatly nutmegging Tim Clancy, but his shot was weak.
Teenage Morton keeper Ryan Mcwilliams showed good reactions to tip the ball over the bar after Kyle had blocked an Alan McManus clearance and saw it bullet towards goal.
Kyle had a chance in the 23rd minute when he beat McWilliams to Mehdi Taouil's measured cross, but his header went wide.
The home fans didn't have long to wait for a goal, as Sammon was bundled over inside the area as he looked certain to score from Kyle's flick. The youngster showed commendable courage and cool to slam the ball past the keeper's right hand from the spot.Morton were awarded a penalty of their own just before the break as Tim
Clancy was adjudged to have impeded Peter Weatherson, and Ryan McGuffie confidently sent Alan Combe the wrong way for the equaliser.
Killie had to replace the injured Jamie Hamill with Manuel Pascali at the break, and the ineffective Danny Invincibile was also taken off early in the second half for the returning David Fernandez, and it was the Spaniard who was instrumental in turning the tie in Killie's favour with his control and awareness.
It took a lucky break for KIllie to go back in front as McManus's attempted clearance bounced off Kyle and stayed in play. The striker was alert enough to reach the loose ball and stand it up to the far post for Sammon to rush in and head home from point blank range.
Killie kept the Dvision One outfit at arms length, and Fernandez created the third in the final minute as he held the ball up on the left and weighted the perfect cross for Kyle to head low into the corner.