Fumarase is an enzyme catalyzing reversible reaction between fumarate and L-malate in the citric acid cycle. Fumarase is used in the industrial production of L-malate, and its immobilization is required for reuse of the fumarases to reduce the cost. Accordingly, understanding the properties of immobilized fumarase is crucial, and several groups report on the storage stability and kinetic parameters of immobilized fumarase. Here we have immobilized fumarase from the thermophilic red alga Cyanidioschyzon merolae (CmFUM) on ceramic beads and investigated its biochemical and physical properties. CmFUM demonstrated sufficient stability and reusability for industry use after immobilization. Notably, the thermostability was dramatically enhanced through immobilization. The Km value and kcat of immobilized CmFUM for fumarate were 1.7 mM and 22.7 s -1 respectively. The Km value for fumarate was lower than that of other reported immobilized fumarases, indicating a high substrate affinity of immobilized CmFUM. Furthermore, the enhanced stability resulting from immobilization partially compensated for the decrease in activity. The high affinity towards fumarate and good thermostability of immobilized CmFUM revealed in this study are advantageous traits for improving enzyme-mediated isomer-specific L-malate production.