You will need:
and your imagination!
Before we start, I must say, it will be helpful if you learned the Elements of Design first, such as knowledge on creating lines, shapes, values, textures, colors, and space. Knowing these principles will make this tutorial much easier. Thank you and good luck!
Step 1: Vocabulary
The first term is called the Station Point (S.P). This is the view or the fixed position of the eye of the observer.
Another important term is Horizon Line (H.L) or Eye Level (E.L) (it's used interchangeably). This is an imaginary line that goes horizontal through your drawing.
Vanishing Point (V.P) is the point where receding parallel lines appear to meet.
Lastly, Picture Frame (P.F) is the boundaries of your drawing.
Make sure to remember the abbreviations because I refer back to them in the pictures.
Step 2: Constructing Basic Boxes
Step 3: Basic Boxes 2
Place two circles on both ends, these will be your vanishing points (V.P); you can place them anywhere on the line.
Start by drawing two parallel lines. You can place these lines anywhere on your paper, just make sure there in between the vanishing points. Also, it will be helpful to make these vary in lengths, such as make one higher than the other.
Step 4: Basic Boxes 3
Draw another line from the bottom of the vertical line to the same vanishing point. You should be left with a parallelogram.
Step 5: Basic Boxes 3
Repeat for the bottom of the vertical line.
Step 6: Basic Boxes 5
Now, notice in the second picture that I completed one box on the left side. But the other two in red, still doesn't look right. The two red boxes need need more lines to complete the box. This is due to foreshortening.
Boxes below or above the horizon line, you will be able to see the bottom side or the top side of the box. Since the other box (the one not outlined in red) is on the horizon line, you won't be able to see neither the bottom or top side of the box.
Step 7: Basic Boxes 6
Step 8: Basic Boxes 7
Step 9: Moving the Vanishing Points
Draw a picture frame on your paper, which is essentially a rectangle.
Draw a straight line that represents your horizon line.
Place one vanishing point on the horizon line.
Below the horizon line, draw a square.
Connect the lines to the vanishing point to make a cube.
Step 10: Rotating View
Notice in the picture above, one of the vanishing points is out of the picture frame. Most two-point perspective drawings have at least one vanishing point out of the picture frame, and some have both vanishing points out of the frame.
Step 11: Rotating Views (cont.)
Step 12: Finding the Grid
So I took it upon myself to show you in a video, that they really do converge to a point. I've traced the edges back to their vanishing points from this perspective, and I showed how the parallel lines meet. After finding these vanishing points, you can find the eye level line, by drawing a straight line through each point.
You can try by using tracing paper over an image (make sure it's a two-point perspective image), and tracing the parallel lines until they meet each other. This is a helpful exercise to help you see that this applies to real life scenarios.