Yes; they both need mitochondria for cellular respiration.
Both animal and plant cells have mitochondria because they require these organelles for cellular respiration, a process that converts nutrients into energy (in the form of ATP) that the cell can use. While plants also have chloroplasts for photosynthesis, which allows them to convert light energy into chemical energy, they still rely on mitochondria to generate ATP from the breakdown of sugars produced during photosynthesis.