According to Official Guinness Records,
The record for the most forward walkovers in one hour is 1,015 and was set by Chung Kwun Ying (Hong Kong) at Sha Tin Racecourse, Hong Kong, China on 4 November 2001.
Chung Kwun Ying (M) actually completed 1,015 walkovers in 52 min 22 sec, however the category is for one full hour.
For a complete list of 2001 records, please visit 2001 Guinness Records in China.