St Philip's is just inside Avondale Square, which is opposite Asda on the Old Kent Road.
The nearest underground station is Bermondsey on the Jubilee line directly north of the church but it may be easier to use either Elephant & Castle or Borough stations - which are both on the Northern line and well served by buses (53, 78, 172, and 453 at Elephant & Castle; 21 near Borough).
The buses that stop closest to St Philip's are the 21, 53, 78, 172, and 453. The 'Malt Street' stop on the Old Kent Road next to Asda is the closest stop for all of these routes. Buses 63 and 168 also stop close by.