Baxter, his assistant Ali Hepher, skills coach Ricky Pellow, academy coach Rob Gibson and team manager Robin Cowling have all agreed fresh three-year deals at Sandy Park.
Exeter currently lie third in the Premiership, despite only securing top-flight status last year, and they are also on course to reach the Amlin Challenge Cup quarter-finals.
Chief executive Tony Rowe said: "I am so pleased that I've finished negotiating an extension on all their contracts because I really wanted to keep them all.
"It's a fantastic coaching team and as you try to progress the most difficult thing is to get hold of a good coaching team. But I've got one, and I am the first to acknowledge the effort they have put in.
"They were untested in the Premiership and apart from Ali, who Rob recruited himself, I was instrumental in putting that group together.
"It's an awesome group, and I consider it quite a coup to have kept them all."
Gilbert has released a new line of rugby cleats. The Gilbert Virtuo 8S is part of the exciting new product. Check it out.
The entire All Blacks apparel line has been updated for 2013/14. Check out the New Zealand All Blacks polo.
The Nike Tiempo is a solid rugby cleat and one of few styles still made from full-grain natural leather.
The Gilbert Blitz 8S rugby cleat is a great cleat at a great price of $69.99. Get a new pair of cleats today.
A cool looking all black rugby cleat with the high performance adidas is known for. Get in the Gear!
Wear the crest of the British and Irish Lions on your t-shirt. A great look for the summer.
$29.99
The All Blacks Performance t-shirt is black with hints of blue from the training jersey. Very Cool.
The New Zealand All Blacks training jersey for 2013/14. Get in the Gear!
The USA Rugby Pro Alternate rugby jersey is perfect for any fan of the Eagles. Get yours to wear during the summer Test matches.
The NEW All Blacks 2013/14 jersey has arrived at World Rugby Shop. Dare to wear the colors of the All Blacks.
