The four-dimensional ferromagnetic Ising model in external magnetic field is simulated on the Creutz cellular automaton algorithm using finite-size lattices with linear dimension <$E 4~symbol Г~L~symbol Г~8>. The critical temperature value of infinite lattice, <$E T sub c sup chi ( inf )~=~6,680(1)> obtained for h = 0 agrees well with the values <$E T sub c ( inf )~symbol Ы~6,68> obtained previously using different methods. Moreover, h = 0,00025 in our work also agrees with all the results obtained from h = 0 in the literature. However, there are no works for <$E h~symbol Щ~0> in the literature. The value of the field critical exponent (<$E delta~=~3,0136(3)>) is in good agreement with <$E delta~=~3> which is obtained from scaling law of Widom. In spite of the finite-size scaling relations of <$E |M sub L (t)|> and <$E chi sub L (t)> for <$E 0~symbol Г~h~symbol Г~0,001> are verified; however, in the cases of <$E 0,0025~symbol Г~h~symbol Г~0,1> they are not verified.

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