The controversy over donations has dogged Sir Keir’s government since Labour won its landslide general election victory in July.
In August, it emerged that Lord Alli had been given a temporary Downing Street security pass despite having no formal government role, but Labour has denied any wrong-doing.
Sir Keir has declared accepting donations from Lord Alli in the register of MPs’ interests, including accommodation worth more than £20,000.
The prime minister said this was to support his son during his GCSE exams.
Lord Alli has also made donations worth more than £32,000 for clothing and spectacles to Sir Keir.
Donations from Lord Alli were re-categorised in the register after Downing Street sought advice on declarations.
Sir Keir is one of seven cabinet ministers who received donations and gifts from Lord Alli in the lead-up to the general election.
Earlier this week, the government announced it would tighten the rules around ministerial hospitality to improve transparency.
Cabinet Office minister Pat McFadden told the BBC ministers would now have to declare hospitality linked to their government job in the register for MPs too.
The prime minister is not the only MP to have received freebies over the past year.
Many current MPs from all parties across the Commons list free tickets to sporting and cultural events in their registers of interests.