In a leak testing apparatus and a method for manufacturing unleaky closed containers having first and second flexible wall areas with different flexibility characteristics, a biasing member is moved toward and onto the first flexible area and a force detector monitors a biasing force at the second flexible area. A container is considered unleaky if a difference signal from force measuring signals at first and second points in time fulfills a test criteria. Sampling the biasing force monitored which results in the first force measuring signal includes determining maximum biasing force signal value which occurs during a time span up to and including the first point in time.