The bull will have a GPS system attached to its neck and will be placed in a field with a webcam in each corner.
Contestants will be able to log onto the Orange website and take a guess at where the bull is going to be at 3pm each day. If they are right they can win tickets to the festival.
"We have been sponsoring Glastonbury for a few years and thought we would try something different," said Orange spokesman Matt Sears.
"There is going to be no harm to the bull when Derek, his owner, puts the GPS unit around his neck. Obviously we are not going to say where the field is."
The field is being divided into a grid and members of the public enter their name, email address and mobile phone number.
If two people get the location right they both win tickets, but if more than two are successful the winners will be chosen at random.
The game will start on Monday and run for four weeks.
Latest Tesla news: Tesla stock price tanks amid reports of 'widening probe' by SEC and claims the base Model 3 loses money
SEC 'probe' takes its toll on Tesla as new research suggests that Tesla loses $6,000 on every $35,000 Model 3
10nm Cannon Lake Core i3-8121U CPUs make a rare outing with Intel's NUC mini PC
'Notorious' Australian child hacker thought he had executed 'flawless' hack
The former employee says that Tesla fired him for bringing the accusations to management internally