But they are likely to defer a decision on the management of residual waste because the council feels that there are too many unanswered questions about each method.
Anaerobic digestion and mechanical biological treatment have both been examined, but a further options appraisal is expected before any method is chosen.
Targets for councils in Wales are to achieve at least 25% recycling and composting, with a minimum of 10% composting, by 2006/07, and to increase this to 40% and 15% respectively by 2009/10.
Anglesey has just under 65,000 people living in 31,337 homes served by a network of 37 recycling centres.
It has historically had a very low recycling rate, with figures for 2001/02, cited in its strategy, showing it recycled only 2.63% of municipal waste and composted none of it.
Anglesey began a trial of kerbside recyclables collection in January, when 5,900 households were given red boxes to collect paper, cardboard and textiles and blue boxes for plastic bottles, glass bottles and cans.
By the end of February more than 1,000 tonnes of material had been collected by the service. Waste officers are now investigating the possibility of expanding the service.
Council leader Bob Parry said: “If the scheme continues to be a success, we hope that it cane be extended to other parts of the island.”
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