NOVELTY - Producing (P1) biodiesel through transesterification involves: contacting a triglyceride-containing vegetable or animal oil with aliphatic mono-alcohol containing 1-6C atoms and a homogenous catalyst to effect transesterification to yield a mixture containing a fatty acid alkyl ester and glycerol, where the homogenous catalyst is a non-basic and non-acidic organo-metallic compound.    USE - For producing biodiesel through transesterification (claimed).    ADVANTAGE - The present process is simpler and does not need to contend with phase separation, acid-base neutralization, salt filtration, and waste disposal. In a continuous biodiesel producing process, the neutral low-boiling homogeneous organo-metallic catalysts will exhibit a significantly higher catalytic activity for transesterifying vegetable oil or fat into biodiesel as compared to conventional base or acid homogenous catalysts. In addition, the continuous biodiesel producing process employs a non-corrosive process system due to the organo-metallic catalyst's neutral property. The catalyst and product can be readily separated due to the catalyst's low boiling points and the catalysts can be recycled for reuse due to their low boiling points and high stabilities.    DETAILED DESCRIPTION - Producing (P1) biodiesel through transesterification involves: contacting a triglyceride-containing vegetable or animal oil with aliphatic mono-alcohol containing 1-6C atoms and a homogenous catalyst to effect transesterification to yield a mixture containing a fatty acid alkyl ester and glycerol, where the homogenous catalyst is a non-basic and non-acidic organo-metallic compound of formula M(OCH3)x (I).    M=metal that is selected from B, Na, Mg, K, Ca, Sc, Ti, V, Cr, Mn, Fe, Co, Ni, Cu, Zn, Ga, Ge, Al, Sn, Sb, Mo, Ag, or Cd;    x=2-4.    An INDEPENDENT CLAIM is included for a continuous process (P2) for producing biodiesel through transesterification involving a) introducing an oil feed and a first alcohol/catalyst mixture, which comprises an aliphatic mono-alcohol containing 1-6C atoms and a homogenous catalyst that is a non-basic and non-acidic organo-metallic compound (I), into a first reactor and to effect transesterification to yield a first effluent containing a fatty acid alkyl ester, glycerol, alcohol and homogenous catalyst; b) removing alcohol and homogenous catalyst from the first effluent and recovering a first biodiesel phase comprising the fatty acid alkyl ester and a first glycerol phase; c) introducing the first biodiesel phase, a second alcohol/catalyst mixture which comprises the aliphatic mono-alcohol and the homogenous catalyst, and optionally fresh alcohol and optionally fresh homogenous catalyst into a second reactor to effect transesterification to yield a second effluent containing the fatty acid alkyl ester, glycerol, alcohol and homogenous catalyst; and d) removing alcohol and homogenous catalyst from the second effluent and recovering a purified biodiesel phase comprising the fatty acid alkyl ester and a second glycerol phase.