Yes; they both need mitochondria for cellular respiration.
Both animal and plant cells have mitochondria because they require them to produce energy through the process of cellular respiration, which converts nutrients into ATP (adenosine triphosphate), the energy currency of the cell. While plants also have chloroplasts for photosynthesis, which converts light energy into chemical energy, they still rely on mitochondria for energy production, especially at night or when they are not performing photosynthesis.