Fulham boss Chris Coleman had been keen to add the former Nottingham Forest keeper to the squad following the departure of Maik Taylor on a season long loan to Birmingham City last week.
"I am pleased to have joined Fulham and the great squad of players that the Club has," Crossley told the Fulham official website.
"I have settled in easily and everyone has been very welcoming.
"Obviously I have known Chris for a long time because of the Welsh national team and I am looking forward to the season ahead with Fulham, with him as Manager."