A body is said to have a uniform motion if it travels equal distances in equal intervals of time, no matter how small or long these intervals may be. Example: A vehicle running at a constant speed of 10m/s, will cover equal distances of 10metres every second, so its motion will be uniform.
A body is said to have a non-uniform motion if it travels unequal distances in equal intervals of time, no matter how small these intervals may be.
Example: A freely falling ball from a certain height covers unequal distances in equal intervals of time, so its motion is non-uniform.