HD 94033 was discovered by Przybylski in 1975 as an dwarf cepheid with a pulsation period of 86 min. From 1981 to 1984, we have observed it many times, and found its (0-C) values of the time of maxima exhibiting regular variation with a long period of about 9 years. The new observation until 1987 still fits this variation very well. We believe it is due to the light-time effect in a binary system, Then we discuss some physical nature about the dwarf cepheid and δ Scuti stars.