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The Palomar Knot Double 4 inches of line and pass the loop formed through the eye of the fishing hook.

Let the hook hang loose. Tie an overhand knot in doubled line. Don't twist or tighten line.

Pull the loop far enough to pass it completely over the hook.

Wet the line. Hold the hook carefully, and pull the loose end with the standing line slowly to tighten the knot. Clip the loose end and you one of the best fishing knots known.

The Improved Clinch Knot

To tie the Improved Clinch Knot, pass line through the hook eye once or twice and, with the tag end, make 5 or more turns around the standing line. Insert the loose end of the line between eye and first loop formed. Bring the end through the large second loop formed.

Wet the line and tighten the knot slowly while holding the loose end of the line end between thumb and index finger so the knot is partly closed before it's secured against the eye. Clip the loose end of the line.
 

The Blood Knot
The blood knot is used for tying two pieces of fishing line together. This  is one of those fishing knots that you occasionally will need. But it is a fishing knot that many anglers unfortunately don't know how to tie.

The Arbor Knot
The Arbor knot is most often used to attach fishing line to a fishing reel!
 

The Albright Knot

The Albright knot is often used by fly fisherman to join fly line and leader material but can be used when joining any two lines of unequal size together.
IMPORTANT NOTE: There are only a few loops shown in the picture below. When making your loops use anywhere from 7 to 11 loops to ensure it doesn't slip.

Trotline Knot

This knot is used anytime you want to attach as drop hook to a main line where the hook hang off of the main line and will not slide up and down the line. Most often used on trot line for catfish.
Note: After finished tying pull the hook to tighten and then grasp the main line on opposites sides of the drop line and pull tight by pulling away from the hook.

The Offshore swivel knot is used to attach a swivel or even a hook to a main line. Commonly used to provide a place to attach a hook or sinker off of another short line. But also comes in handy if you want to attach a swivel or hook to a double line.

When you have completed the steps shown pull tight while working the knot down onto the eye of the swivel.

The Bowline Knot
The Bowline Knot is one of the most important fishing knots that can be used. It isn't used to tie fishing baits on. Instead the bowline knot is used to tie your boat to some mooring platform Wether it be an oil rig or the camp dock, this knot shows its unique strength when you go to untie. No matter how hard the knot has been pulled it is always easily untied even when wet.