A method for directly producing methyl acetate and/or acetic acid from syngas, carried out in at least two reaction zones, including: feeding a raw material containing syngas into a first reaction zone to contact and react with a metal catalyst; allowing an obtained effluent to enter a second reaction zone directly or after the addition of carbon monoxide so as to contact and react with a solid acid catalyst; separating the obtained effluent to obtain product of acetate and/or acetic acid, and optionally returning a residual part to enter the first reaction zone and/or the second reaction zone to recycle the reaction. By the method above, the product selectivity of the product of methyl acetate or acetic acid is greater than 93%, and the quantity of methyl acetate and acetic acid may be adjusted according to processing.