Gary Hooper grabbed a brace striking in the 19th and 80th minute while Wanyama gave the Celts the second in the 33rd minute with a trade mark powerful header.
Substitute Scott Brown then put the game to bed slotting home in the 84th minute. The Celts’ manager Neil Lenno made three changes to the team that overcame Hearts 4-1 at the weekend, with Thomas Rogne, Beram Kayal and Lassad coming into the starting eleven at the expense of Adam Matthews, Kris Commons and Scott Brown.
The champions made a brisk start with both Wanyama and Georgios Samaras having unsuccessful attempts on goal inside the opening four minutes.
Wanyama has been on an upward trajectory in Glasgow and his consistent display is expected to reignite more interest from the English Premier League clubs, who have been silently courting the player.
The latest to join the fray is Fulham with stuttering Arsenal also understood to be interested in bringing the powerful holding midfielder to Emirates as replacement for Cameroonian Alex Song, who quit to join Barcelona.