The present invention provides a method for producing a low thermal expansion Ni-base superalloy, which includes: preparing an alloy including, by weight %, C: 0.15% or less, Si: 1% or less, Mn: 1% or less, Cr: 5 to 20%, at least one of Mo, W and Re, which satisfy the relationship Mo+½(W+Re): 17 to 27%, Al: 0.1 to 2%, Ti: 0.1 to 2%, Nb and Ta, which satisfy the relationship Nb+Ta/2: 1.5% or less, Fe: 10% or less, Co: 5% or less, B: 0.001 to 0.02%, Zr: 0.001 to 0.2%, a reminder of Ni and inevitable components; subjecting the alloy to a solution heat treatment under the condition of at a temperature of 1000 to 1200° C.; subjecting the alloy to either a carbide stabilizing treatment for making aggregated carbides on grain boundaries and stabilizing the carbides under the conditions of at a temperature of not less than 850° C. and less than 1000° C. and for 1 to 50 hours, or a carbide stabilizing treatment for making aggregated carbides on grain boundaries and stabilizing the carbides by cooling from the temperature in the solution heat treatment to 850° C. at a cooling rate of 100° C. or less per hour; subjecting the alloy to a first aging treatment for precipitating γ′ phase under the conditions of at a temperature of 720 to 900° C. and for 1 to 50 hours; and subjecting the alloy to a second aging treatment for precipitating A2B phase under the conditions of at a temperature of 550 to 700° C. and for 5 to 100 hours.