ɐlˈɔŋ wɪð hɪz bɹˈʌðɚ dʒˈeɪmz, ˈæpsli wʌz ˈɛdʒuːkˌeɪɾᵻd æt mˈɜːtʃənt tˈeɪlɚz skˈuːl ænd ɐtˈɛndᵻd ðɪ ˈɪnɚ tˈɛmpəl, bᵻfˌoːɹ ɡɹˈædjuːˌeɪɾɪŋ fɹʌm tɹˈɪnᵻɾi kˈɑːlɪdʒ, ˈɑːksfɚd ɪn wˈʌn θˈaʊzənd sˈɪkshˈʌndɹɪd θˈɜːɾi wˈʌn.
Along with his brother James, Apsley was educated at Merchant Taylors' School and attended the Inner Temple, before graduating from Trinity College, Oxford in 1631.