Put the water and sugar in a saucepan.

Dissolve all of the sugar over low heat.

Blend the blackberries to obtain a puree.

Filter the puree with a narrow hole colander.

Add to the sugar syrup, honey, lemon juice, and blackberry puree.

Incorporate everything well and let it cool.

Pour the mixture into a cold steel bowl (previously put the bowl in the freezer).

Put in the freezer for 4-5 hours, remember to mix it occasionally to break any ice crystals.

Before serving, take out the sorbet from the freezer 15-20 minutes before.