Miller scored an unbeaten 44 off just 24 balls towards the end, while Gilchrist made 42 off 26 balls upfront. Shaun Marsh also played a sedate 44-ball 45-run knock to help Kings XI's cause.
Sent into bat, Gilchrist got Kings XI off to a blazing start racing the hosts to the 50-run mark in the sixth over.
Gilchrist sent the Delhi bowlers on a leather hunt from the word go. He was particularly severe on Ashish Nehra (2/38) as he clobbered the left-arm pacer to all parts of the ground to pick up 27 runs off the bowlers opening two overs.
After the initial onslaught, the Delhi bowlers manged to put brakes on the scoring as Kings XI squandered a bright start to find themselves at 103 for two in the 15th over.
Once Gilchrist departed at the team score of 60, Kings XI's run rate dropped considerably as the hosts scored just 43 runs in the next seven overs losing the wicket of Azhar Mahmood (9). Mahmood was caught by Siddharth Kaul off Nehra.
Marsh, however, departed in the next over, caught at long-on by Pathan off Morne Morkel (1/22). He struck seven fours during his scratchy 44-ball knock.
In Miller's company R Satish's played a 13-ball 22-run cameo before being caught by Ben Rohrer off Nehra in the penultimate ball off the innings.
Miller, however, ensured that Kings XI cross the 170-run mark, hitting Nehra for a four off the last ball. The South African struck three boundaries and four sixes during his knock.
