Monmouth Park 175 Oceanport Ave, Oceanport, NJ07757 Monmouth Park was first started in 1870 and its current facililty has been running strong since 1946. Live horse racing…More takes place from May to November, generally on weekends and some holidays. The park offers many options for people of all ages. Families can spend a day picnicking near the playground and adults are able to BYOB. The park also offers simulcasting seven days a week.