Bladed disk systems are crucial components in turbomachinery. Mistuning caused by manufacturing tolerances, thermal stresses, and operational wear significantly affects the vibrational characteristics of bladed disks, leading to vibration localization. In order to precisely and efficiently predict the dynamic behavior of mistuned rotating bladed disks, numerous reduced order modeling (ROM) methods have been explored. However, existing research on ROMs for mistuned disks under variable speeds is limited. Addressing this gap, this paper introduces a real-time ROM for mistuned bladed disks operating at variable speeds. By calculating modal frequencies at three typical speeds and employing the component mode mistuning (CMM) method, a ROM for any operational speed is established. Using an academic bladed disk as an example, the method’s effectiveness is validated by comparing its vibrational modes and responses against those from a full-order finite element model (FEM). Results show that the ROM’s frequency error is less than 0.02%, with modal assurance criteria (MAC) not falling below 99.3%, underscoring the method’s accuracy. Additionally, this method is utilized to explore the impact of rotational speed on the natural frequencies of mistuned disks across different vibration modes.