It comes after the Gibraltar internationalannounced he was leaving Darlington last week and the prolific striker now links up with the Reds.
The forward scored 21 goals in the National League North last season and already has five to his name this campaign.
Speaking to the club's website, Billy Heath says he knows exactly what he is getting with Styche.
"We are delighted to have signed Reece, he is another experienced addition to the squad and he has always scored goals. He’s always scored goals at whatever level he has played and especially at this level.
“He had a big impact on Darlington and he will bring goals to us and added quality to the squad.
“Reece is another competitor and it’s a big signing for us and a quality addition. We are pleased to have got him.”
Styche could make his debut for Alfreton in their weekend fixture with Chester.