Chevron stitch is actually a variety of Herringbone stitch and worked with a similar hand motion.
Chevron Stitch is traditionally worked from left to right on two imaginary parallel lines.
To keep the width of the stitches even, guide-lines need to be marked on the fabric. To do this use one of the fade out or water dissolvable pens available.
Bring the thread out through the fabric on the left of the lower imaginary line. Insert the needle a little to the right on the same line, and with the needle emerging at the middle make a small stitch.
Take the needle diagonally up and insert on the upper imaginary line and make a small stitch a little to the left, take it across to the right and insert, bringing it once again out in the middle. Work this way along the row alternating up and down.
Since Chevron stitch has a strong geometrical construction it does not follow curves well unless they are very gradual.
Rows of Chevron stitch worked closely together produce a lattice effect, which makes a good patterned filling for larger areas. Since this creates a grid of diamond shapes.
An isolated stitch such as French knot, Colonial knot or a bead can be placed in the centre to further decorate the filling.
Chevron is also a useful decorative stitch to use when couching.