El Badry was appointed as manager in the close-season, after departing Egyptian side Al Ahly, of Cairo.
The club announced the incident occurred after Al Ahly Tripoli's fixture with Al-Sowaihili on Saturday.
A statement read: "Our coach has been shot at his home after a match in the league against Al-Sowaihili that ended 1-1.
"El Badry is safe but in depression after what happened.
"Three men in a car shot our head coach. We spoke with the police and who have launched a full scale investigation."
El Badry has guided Al Ahly Tripoli to the top of the Lybian Premier League after taking seven points from their opening three matches.
‘He instantly popped into our ratings as one of the best U21 midfielders in Europe. The impressive thing is Slot has made him into more of a no.6' Inside Ryan Gravenberch's transformation at Liverpool
‘I don’t think Liverpool would look at Ollie Watkins, a striker isn’t a pressing issue for them – it’s Arsenal who need one’ Former Reds star explains why his old club don’t need an out-and-out forward this summer
