The changes, effective from April 7, aim to deter anti-social parking and driving behaviour.
The more serious the parking contravention, the higher the penalty charge.
In Bexley, higher-level charges in Band A areas will increase from £130 to £160, reduced to £80 if paid within 14 days.
In Band B areas, charges will rise from £110 to £140, reduced to £70 if paid within 14 days.
All areas in the borough are in Band B, with only the Bexleyheath town centre area falling into Band A.
Moving traffic contraventions, such as blocking yellow box junctions, will see penalties increase from £130 to £160 across the borough, reducing to £80 if paid within the specified period.
This is the first increase since 2010 and is aimed at deterring people from parking and driving in a way that makes the borough’s roads dangerous.
Bexley’s cabinet member for neighbourhoods, Councillor Richard Diment, said: “Our parking policies are firm but fair.
“We issue fewer parking fines than all but one other London borough.
“We don’t want a borough-wide controlled parking zone or to charge £7 an hour as they are proposing in Greenwich, and we have one of the lowest rates of successful appeals.
“However, we do want to make sure that people don’t park or drive in a way that introduces danger onto our roads.
“Anyone who parks or drives legally won’t get a fine.”
The public notice and more information about the parking penalty increases can be found on the London Borough of Bexley website.