The driver of the lorry owned by the Dumfries-based firm was at the wheel when Traffic Scotland say it was blown from the northbound carriageway onto the southbound side in the early hours of Wednesday morning.
He was not injured, but has now been charged by police.
A Police Scotland spokesman said: “A 54-year-old man has been charged following a collision on the Forth Road Bridge at around 2 am on Wednesday.
“A report will be submitted to the Procurator Fiscal.”
Police say the lorry was travelling north when it overturned and collided with the central reservation.
Drivers have been warned to expect disruption as strong winds of up to 70 mph hit Scotland this week.
Police Scotland’s head of road policing Ch Supt Andy Edmonston said: “With a risk of weather-related disruption for the remainder of the working week, motorists should bear in mind the risk of potentially-hazardous driving conditions to come.
“If you are travelling, please ensure your vehicle is well prepared before setting off; making sure your windscreens are completely free of snow and ice; ensure your number plate is clear; and your lights are working and clean.
“Ensure you have sufficient fuel in the vehicle, as well as supplies for yourself and passengers, including food, water, warm clothes and a fully-charged mobile phone.
“Check your route before you set off, and consider options for an alternative route, if necessary.”
And he added: “Be aware public transport could be disrupted and restrictions could be in effect on road bridges.”
Currie European in Dumfries have responded to the situation.
A spokesman said: “Our first thought was for our driver, who is thankfully okay, but it’s an ongoing police investigation and we cannot comment any further on that.”