It might be a broken motor mount or transmission mount.
Yes, either can cause a shake while driving.
Maybe its your motor mounts.
I don't know you tell me.
Out of balance or damaged tire(s). Damaged wheel(s). Engine misfire. These are the three most common culprits.
You've run out of fuel...
Gasoline pedal/air intake pedal
you have bubbles in the tires you need to get a wheel balance 1st and 2nd wheel allignment if it still plays up or the engine is loose / old = more expsensive
You engine is probably misfiring. Check your ignition and fuel systems.
If your car shakes while underway, your tires have worn incorrectly from misalignment. If it shakes while in park or not moving, your engine is misfiring.
bent wheels or a broken cord in a tire or a deformity in a tire.
check u joints on driveshaft.
get an engine diagnostic scan.