Using metalorganic vapor phase epitaxy to grow GaInAs/InP layers on masked InP substrates patterned with submicron square holes, we have fabricated in situ buried quantum dot arrays for the first time. Starting with mask openings greater-than-or-equal-to 150 nm x 150 nm and utilizing the natural crystal habits to form low-index plane facetted pyramids inside the holes, highly regular GaInAs quantum dots embedded in InP are obtained in a single growth step. As verified by cathodoluminescence, the dots exhibit very high luminescence efficiencies, even at room temperature, owing to the absence of air-exposed or etch-damaged heterointerfaces.