The Brazilian market of access suppliers the InterNet has presented a vertiginous growth since 1998 and this having lived deeply one periodo of increasing concentracao. At a moment where the dispute for the consumers this each incited time more, the esforcos for manutencao of the base of important customers if becomes tao how much those destined the conquest of new consumers. In this context, preocupacao with the allegiance of the usuarios of access suppliers the InterNet acquires special relevancia. The present study if propoe to investigate the difficulties found in fidelizacao of the customers of access suppliers and to analyze the type of allegiance shown for these, using itself framework considered by Richard Oliver (1999) as main referencia for classificacao of the allegiance.