The Uganda international got a goal in each half as Aykut Kocaman’s side recorded their second away victory this term.
Omer Sahiner’s 20th-minute effort put Konyaspor ahead at the Recep Tayyip Erdogan Stadium before Marko Jevtovic doubled the advantage after 45 minutes.
Before referee Serkan Tokat sounded his whistle for the half-time break, Miya made it three to hand his side a comfortable lead.
Veysel Sari reduced Kasimpasa’s deficit, however, the 21-year-old Miya guaranteed maximum points with his second strike, from the penalty spot, with 29 minutes left to play.
With this imposing display, Miya - who joined the Konya based outfit on a three-year contract from Croatia’s HNK Gorica - has now scored four goals in six outings.
Following their latest triumph, Kocaman’s men are now second on the Turkish top-flight log with 12 points from seven games.
After the international break, they welcome Yeni Malatyaspor to the Konya Buyuksehir Stadium on October 21.