The 22-year-old, on loan from Crystal Palace, made some excellent stops during the game.
He said: "The manager said those saves were at a crucial time, we knew Kilmarnock would come at us in the second half but I thought the lads defended absolutely brilliantly. We're absolutely delighted and have been celebrating the win.
"We're just missing that clean sheet, so Robert (Olejnik, Falkirk's other goalkeeper) and I must have been doing something not to get them, but hopefully it will come over the next game or so.
"This was my second game and I'm still getting to know the lads and they're getting to know me.
"I'm delighted with how I've played over the past two matches but I want to take it game by game and hopefully we can get a run together and start climbing the table."