by sharkie Landscape views. In the park you can see a wide variaty of animals almost anything from bobcats, cougars (pumas), coyote, Tarantulat spider to desert tortoise - often called 'land turtles'. Directions: The Joshua Tree National Park lies 225 kilometers (140 miles) east of Los Angeles. You can approach it from the west via Interstate 10 and Highway 62 (29 Palms Highway) to the north entrances of the pOther Contact: Write to: Superintendent, Joshua