The opposition candidate on Tuesday said bullets were fired at his car, puncturing the tyres and rendering it immobile.
He added that several members of his staff had been wounded and that some were in a critical condition.
Bobi Wine was later charged with violating pandemic restrictions on gathering of crowds and granted bail.
In a national address on Sunday, President Yoweri Museveni, defended the actions of the police and army, saying that no politician was untouchable.
Campaigns for the January elections have continued to heat up.
President Yoweri Museveni has been the President of Uganda since 1986 and opposition to his long rule is increasing rapidly across the country.
Security forces in the country have been used to harass and block opposition politicians’ rallies.
Our lives are in danger! After blocking us in Kayunga, on the way to Jinja, they blocked the main road & diverted us to a remote road. As if to set us into a 'kill spot', they shot the tyres of my car and directly into our windscreen, narrowly missing Hon Zaake and my driver. pic.twitter.com/Y2dnHA1LyE
— BOBI WINE (@HEBobiwine) December 1, 2020