In the match that lasted 125 minutes, the 23-year-old Bedene kept up the momentum of his yesterday's upset win over fourth seed Stanislas Wawrinka.
He rattled Tipsarevic with excellent court coverage and made some unbelievable returns. However, Bedene failed to convert his efforts into success when it came to breaking games.
In the ninth game, Bedene enjoyed success as he resorted to playing long rallies. Not tuned to the situation, Tipsarevic was broken, and Bedene held his own for the set.
In the second, the plan to move up front paid off for Tipsarevic as Bedene failed to cross the net with a forehand from the edge of the right line of the court.
Making full use of the unforced errors committed by Bedene, Tiperservic led all the way to win the second set 6-4.
In the decider, Bedene was stretched and nothing was going in his favour. He often, though, came up with emphatic winners, particularly with his forehand.
Tiperservic soon rose to a 3-0 lead as Bedene wilted under pressure.
However, Bedene, who managed to reduce the margin to 2-4, almost broke Tiperservic in the seventh game.
In the eighth, Bedene yielded two match points to Tiperservic, and then made an ordinary return to concede the match.
