The former Dover Athletic and Sittingbourne man scored Faversham's second goal in their 2-2 draw with Greenwich Borough on Saturday.
Luke Griffiths opened the scoring for Town, before Gary Alexander's men hit back through a Chinedu McKenzie equaliser.
But Bourne scored after the restart on his 341st appearance for the club but it was Greenwich who scored the final goal of the game when Jack Sammoutis netted.
Also named in the team are Maidstone keeper Lee Worgan, Chatham defender Reece Butler, Dover winger Mitch Pinnock and Margate frontman Frannie Collin.
Dover's Chris Kinnear was named manager of the week.