Reporters covering the day's events had to deal with crowds of rowdy supporters outside the grounds and had to apologise several times after foul-mouthed outbursts were broadcast live.
The chaotic scenes on the night included a fan who waved a sex toy at a reporter and TV comic Simon Brodkin turning up in character as his footballer creation Jason Bent, claiming he had signed for Queens Park Rangers to "play in the Premiership this season and in the Championship next season".
Ofcom said eight viewers complained about offensive language.
The complaints are being assessed before the watchdog decides whether to investigate the coverage.
The channel, which broadcast more than 60 live reports on the day, has not had any direct complaints.
Its coverage, fronted by Jim White, has a cult following among fans desperate to discover whom their team have signed before the closure of the transfer window.
The biggest deals this year saw Monaco striker Radamel Falcao join Manchester United on loan, while Danny Welbeck left the Old Trafford club for Premier League rivals Arsenal.
A Sky Sports News spokesman said: "Millions of viewers followed our coverage of transfer deadline day, which included over 270 live reporter updates from outside football clubs over the final 24 hours.
"We apologise to those whose enjoyment was spoiled by a small number of incidents and we're looking into ways to avoid this happening again in the future whilst ensuring fans remain a key part our live coverage."