Even independently from the KW test, such a small P-value of an ANOVA indicates highly significant difference(s) between samples. More detailed interpretation requires more detailed information on the tests performed...
The question was about how to interpret the P-value of the ANOVA. The nonparametric tests tend to be more conservative than parametric tests and can be used when assumptions of the parametric tests are not met (e.g. normal distribution of the variable).
According your P-value, if you are working with parametric data (mainly homogenicity of variances), you should consider that the differences among treatments are no results of external factors. Wheather these differences are very clear, you could present the your treatment(s) as increasing of X-fold with respect to the level(s) observed in your control(s)
Hi Zahra, you have significant differences among your treatments at level 0.05. In other research areas, i.e. biomedicine, researchers frequently use lower a P level, 0.01