Career
Lyngby BK
His career started in Hellerup IK, where he at the age of 13 switched to Lyngby Boldklub. Throughout his young career he got plenty of playing time in the various Danish youth national team, where he on several occasions has been the top scorer. On 13 February 2011, it was published by Lyngby Boldklub that they would send him to Hamburger SV, where he would be allowed to train with the club until the following Friday.
Lyngby"s first-team coach Niels Frederiksen struck, however, that Uffe just went to Germany to try a big club
Bech played in Lyngby BK until January 2013 when he was picked for the Superliga club Football Club Nordsjælland. Football Club Nordsjælland
On 22 January 2013, he transferred to Football Club Nordsjælland on a three and a half years contract.
Hannover 96
On 8 July 2015, he signed a four-year contract with the German Bundesliga club Hannover 96. He has played for both the U-16, U-17, U-18, U-19, U-20 and U-21 Danish national team, where he during his time was top scorer for the first three.
In 2011 he got the U-19 Danish national team talent prize.
Uffe Bech had his debut for the Danish national team on 11 October 2014 in a Union of European Football Associations Euro 2016 qualification game against Albania.