If the blockage is in the "U bend" [the U shaped bit of pipe just below the sink strainer at the bottom of the basin] then put a shallow bowl or water-catcher beneath the U bend and unscrew the U bend and remove the obstruction. This method works if the obstruction is non-organic.
If you suspect that the obstruction is organic (hair, fat, grease, cabbage etc.) then a chemical approach may be necessary. There are commercial products that contain dangerous caustics [lye and very strong detergents]. These often work but have risks.
Another approach is a "snake".. a flexible but stiff piece of cable or wire that you push gently but repeatedly back and forth while the sink is partly full of warm or even hot water (hot shifts grease).
Of course there is always the "plumbers friend", also called a 'plunger' which is composed of a cup shaped rubber sucker and a handle.
To use it properly partly fill the sink with warm water and exclude all possible air from the cup [this greatly increases the hydrostatic force {look it up}. Then slide the plunger (no air inside) from the side of the plug-hole. Now push down on the plunger and slide it over to directly above the drain hole.
Push and pull vigorously (keeping air out of the cavity inside the cup).
If these techniques don't work.... call a plumber!
Firstmate
To remove the drain plug from a sink, locate the plug in the drain and twist it counterclockwise to unscrew it. Pull the plug out of the drain once it is fully unscrewed.
To remove the plug from a sink, simply reach into the sink and locate the plug. Then, grasp the plug firmly and lift it out of the drain. You may need to twist or pull the plug to release it from the drain.
To take apart a sink drain, first, locate the nut connecting the drain pipe to the bottom of the sink. Use a wrench to loosen and remove the nut. Next, disconnect any additional pipes or fittings attached to the drain. Finally, carefully lift the drain assembly out of the sink.
To remove a drain plug, locate the plug underneath the sink or tub, use a wrench to turn it counterclockwise, and then pull it out.
To remove a sink plug, simply reach under the sink and locate the rod connected to the plug. Rotate the rod counterclockwise to unscrew it, then lift the plug out of the drain.
The sink drain is blocked somewhere after the disposal. take apart and clean or renew sink drain.
Take apart the drain and clean it up. Fit new seal, drain to bowl and new seal from slip tube to drain tube.
To remove the sink plug, simply reach into the sink and lift it out by pulling it upwards.
To remove the drain plug from a tub, locate the plug and twist it counterclockwise to unscrew it. Pull the plug out of the drain to remove it completely.
To remove a sink drain, you typically need to locate the retaining nut underneath the sink and use a wrench to loosen it. Once the nut is loose, you can pull out the drain assembly from the top of the sink.
It can allow the drain to block easier. Take the trap off the sink drain and remove it
If it's a sink drain , best to remove the entire pipe and P trap. I then take outside and hose them out.