  We examine interacting bosonic higher spin gauge fields in the BRST-antifield
formalism. Assuming that an interacting action $S$ is a deformation of the free
action with a deformation parameter $g$, we solve the master equation $(S,S)=0$
from the lower orders in $g$. It is shown that choosing a certain cubic
interaction as the first order deformation, we can solve the master equation
and obtain an action containing all orders in $g$. The anti-ghost number of the
obtained action is less than or equal to two. Furthermore we show that the
obtained action is lifted to that of interacting bosonic higher spin gauge
fields on anti-de Sitter spaces.
