The regulator found the radio broadcaster in breach of its code relating to offensive material after the comments made on the Mike Mendoza live phone-in show on May 12 and 'Football First' discussion show on June 3.
On Mike Mendoza's show, during a piece about footballers' involvement in the publicity campaign surrounding the disappearance of Madeleine McCann, Mendoza said: "Paedophiles in general are the type of people that surely would not follow football... not many gay people to the best of my knowledge are great football fans."
Ofcom welcomed the action taken by TalkSport following the show, which included suspending Mendoza for a week and offering apologies to the complainant about the remark, which the broadcaster admitted was "indefensible". However, Ofcom in its ruling said that it was concerned that the remark had been made and described it as "highly offensive".
In the second incident on 'Football First', during a discussion about gay rights, Garry Bushell said: "I think there are a lot of things to put right in this country before you go around preaching the gospel of perversion."
TalkSport agreed that the comments, which it described as "off the cuff", were wrong and spoke to the presenter about the remark.
Ofcom said that being "off the cuff" did not mitigate against the offensiveness of the comments.
In its ruling, Ofcom recommended that TalkSport fully briefs its presenters about topics likely to be discussed on programmes and the types of remarks that are likely to cause offence.
Meanwhile, ITV has also found itself in trouble with Ofcom over rules relating to protecting children by appropriate scheduling. The decision follows 21 complaints from viewers about one of the acts on ITV1's 'Britain's Got Talent' on June 16 at 7.45pm, called Dr Gore.
Ofcom agreed that the material of the act, which combined magic with horror special effects including a scene featuring organ removal with a rotary saw, was inappropriate for the scheduling.
In its response Channel TV, which compiled the programme for ITV and responded on behalf of the broadcaster, said that care was taken to present the programme appropriately and to show a minute-long edited clip before the act to give viewers a taster of the content.
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