Аннотация:The static and dynamic magnetic properties of new layered honeycomb lattice oxides A2Ni2TeO6 (A = Li, Na) were investigated. The magnetic susceptibility (T) passes through a maximum for both compounds indicating antiferromagnetic (AFM) order at low temperature. In addition one more unusual anomaly at T*<TN was revealed on (T) in weak magnetic fields (B<0.1 T for Li and B<1 T for Na samples respectively). At high temperatures, (T) follows the Curie-Weiss law with the Weiss temperature ~ -24 K and ~ -20 K respectively. TN was estimated from the maximum of d/dT(T) and is ~ 25 and 27 K for Li sample and Na sample respectively. The effective magnetic moment is ~4.5 B/f.u. and agrees with theoretical estimations using determined effective g-value ~2.19 and assuming high-spin configuration of Ni2+ (S=1). Applied magnetic field suppresses the T* anomaly and shifts TN to low-T side. At the same time the magnetization curves demonstrate an upward curvature suggesting the possible presence of a magnetic field induced spin-flop transition at BC~5 T.