We have measured the temperature dependences of the magnetic susceptibility
in a magnetic field of 1T and the specific heat in magnetic fields of 0-9
T for Cu3B2O6 Single crystals grown by the Floating Zone method. It has bee
n found that a three-dimensional antiferromagnetic order with the spin dire
ction parallel to the be plane appears at low temperatures below 10 K. The
spin entropy is much smaller than the value of the free-spin entropy at tem
peratures immediately above 10 K and recovers to the value of the free-spin
entropy at approximately 50 K. Accordingly, we conclude that the two-dimen
sional magnetic correlation develops with decreasing temperature at low tem
peratures below similar to 50K, leading to the three-dimensional antiferrom
agnetic phase transition at 10 K.