You did not mention if it is automatic or manual. In either case check the Transmission Fluid level. Low levels can cause sluggish shifting and damage over time. If the level is normal then check the fluid itself. It should be a reddish color. If the transmission oil is dark then it may need to be changed with fresh trans fluid as well as a new trans filter. If the fluid has a chocolate milk look it or consistency is thick then oil has leaked into the transmission fluid and needs to be taken to a shop for service.
If these steps do still do not fix the problem then the gears could have worn or broken teeth and will need to be replaced either by rebuilding the transmission or buying a new one. - jedgell233
Make sure you got your foot on the brake pedal before shifting gears. It maybe also the neutral safety switch.
Yes, 2003-2005 models are the same.
were dose a Chevrolet cavalier 2003 Clutch gose
what size wiper blades for 2003 chev cavalier
How do you unplug an oxygen sensor on a 2003 Chevy Cavalier
should do
Cavalier Eternal was created in 2003-08.
Very few.
what tools i need to change the brake shoes for a cavalier 2003
Cavalier Marching Band was created in 2003.
Yes there is
http://www.gmpartscheap.com/seccat/cavalier-697/2003/shift-boot-41002/124/