An easy way to draw a moose is to do it section-by-section. First, start by drawing the nose and head, and then draw the body and additional details.
Draw a moose by starting with the top of the snout or nose. Next, add the ear and the lower jaw to the snout; from the lower jaw, draw the lower neck portion of the moose; then, draw the upper back, starting from behind the ear. Next, draw the legs, then add the underbelly. Going back to the head, begin to drawing horns; do not finish them yet, though. Back down at the underbelly, sketch the second set of legs. Then finish drawing the horns. Add an eye and some scruff under the neck to complete the illustration.