Acids are the substances that can donate a proton i.e. H+. When an acid is introduced in water, it undergoes ionisation as given below:
The H in acids are easy to remove due to weak bond between H and A. Generally A is a more electronegative atom than H, so the shared pair of electron is more towards A and the cleavage of H-A bond is easier. So, the acid donate the hydrogen ion easily. Eg. HCl. Such acids are called strong acids.
In some acids, the H cannot be readily donate as in case of acetic acid i.e. CH3COOH, such acids are called weak acids.
The more easy the dissociation of H+, more stronger is the acid.