The 39-year-old checked on the two-year-old several times as she slept in her pram, before reclining back on the grass.
Keeping his baseball cap firmly on, the father-of-four looked causal in an all-black ensemble.
The star caused a stir amongst other visitors to the park, who he happily chatted to while sons Romeo and Cruz occupied themselves with a kickaround.
There was no sign of David's wife Victoria during the day, who is currently busy working on her first boutique in London.
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