Question

Is there a way to adjust the position of list-style-image?

When I use padding for list items the image will stay at its position and won’t move with padding…

Answer 1

Not really. Your padding is (probably) being applied to the list item, so will only affect the actual content within the list item.

Using a combination of background and padding styles can create something that looks similar e.g.

li {
  background: url(images/bullet.gif) no-repeat left top; /* <-- change `left` & `top` too for extra control */
  padding: 3px 0px 3px 10px;
  /* reset styles (optional): */
  list-style: none;
  margin: 0;
}

You might be looking to add styling to the parent list container (ul) to position your bulleted list items, this A List Apart article has a good starting reference.